Factorise
Please with full method

FactorisePlease With Full Method

Answers

Answer 1

[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]

Answer 2

Answer:

Step-by-step explanation:

[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]


Related Questions

Identify the rule for the following pattern: 4, 24, 144...

Answers

Answer:

Multiply By 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The common ratio is 6 ie dividing the second term by the first term or the third term by the second term ie

24 ÷ 4 = 6

144 ÷ 24 = 6

And so on....

Passes through (3,4) and is parallel to the line containing (3,5) and (0,2). Write answer in slope intercept form.

Answers

Answer:

should be 0

Step-by-step explanation:

Find the equation of the line passes through ( -3, 4) and parallel to the line 2y-4x + 2 = 0

Answer:

[tex]y = x + 1[/tex]

Step-by-step explanation:

We want to determine the equation of the line that passes through the point (3, 4) and is parallel to the line containing the points (3, 5) and (0, 2).

Recall that parallel lines have equivalent slopes.

Hence, first find the slope of the line containing the points (3, 5) and (0, 2):

[tex]\displaystyle m = \frac{\Delta y }{\Delta x} = \frac{(2)-(5)}{(0)-(3)} = \frac{-3}{-3} = 1[/tex]

Therefore, the slope of our new line must also be 1.

We are given that it passes through the point (3, 4). Since we are given a slope and a point, we can consider using point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (4) = (1)(x - (3))[/tex]

Simplify:

[tex]y - 4 = x - 3[/tex]

And add. Hence, our equation in slope-intercept form is:

[tex]y = x + 1[/tex]

In conclusion, the line that passes through the point (3, 4) and is parallel to the line containing the two points (3, 5) and (0, 2) is:

[tex]y = x + 1[/tex]

Marta Collected 363 cans die go collected 295 cans how many cans marta And diego Collect

Answers

Answer:

658

Step-by-step explanation:

Need help on this hm THE MIDDLE ONE

Answers

Answer:

{0, 1, -1}

Step-by-step explanation:

2x - 6 = 3x + 1 - x - 7

2x - 6 = 2x - 6

0 gives you -6 = -6

1 gives you -4 = -4

-1 gives you -8 = -8

{ALGEBRA} What’s the domain and range of these graphs?

Answers

I’ve attached my work…
I fixed your first and second graph
And filled in the blanks
Hope this helps!

step by step

-5x-y=12

x+y=4

-6x+9y=11

Answers

Answer:

1.  x = -12+y / 5 , y = -12-5x

2.  x = 4 - y , y = 4 - x

3.  x = -11 - 9y / 6 , y = 11 + 6x / 9

( for the numbers in fractions such as the x value for #1 and x & y value for #3, put the negative sign in front of the fraction, not the number okay? )

Step-by-step explanation:

-5x - y = 12

--->  -5x - y = 12                                          -5x - y = 12

= -5x - y = 12                                           =  +5x        +5x

        +y     +y                                             ---------------------

---------------------                                              -y = 12 + 5x

-5x = 12 + y                                                    /-1         /-1

/-5     /-5                                                      ----------------------

---------------------                                                y = -12-5x

x = -12+y / 5

-------------------------------------------------------------------------------------------

x + y = 4

--->  x + y = 4                                                   x + y = 4

=          -y    -y                                              =  -x         -x

---------------------                                               ----------------

x = 4 - y                                                             y = 4 - x

--------------------------------------------------------------------------------------------

-6x + 9y = 11

-----> -6x + 9y = 11                                               -6x + 9y = 11

=              -9y    -9y                                          =   +6x          +6x

------------------------------                                          ------------------------

-6x = 11 - 9y                                                             9y = 11  + 6x

/-6        /-6                                                                /9        /9

-------------------------------                                           --------------------------

x = -11 - 9y / 6                                                              y = 11 + 6x / 9

The main rotor of a helicopter is spinning at a constant rate. The rotor makes 80 revolutions every 12 seconds. At what rate, in revolutions per minute, is the rotor spinning?

Answers

Answer:

B/16

Step-by-step explanation:

if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds

12 divided by 60 = 0.2

0.2 times 80 = 16.

hope this helped

A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?

Answers

Answer:

10

Step-by-step explanation:

Distance=800kmTime=10h

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

Time=14h

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

I’m struggling on this one pls help

Answers

Answer:

1:2

Step-by-step explanation:

11 triangles : 22 hearts

= 1:2

7k -2(3k + 1) - 9
Y’all I need help.

Answers

Answer:

k - 11

Step-by-step explanation:

7k - 2(3k +1) - 9

So first we start by multiplying out the brackets. Multiply 2 by 3k and 1 then it becomes:

7k - 6k + 2 - 9

Then collect like terms subtract 6k from 7k and 9 from 2:

k - 11

HOPE THIS HELPED

0.582 times 10 what is value of the 2​

Answers

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


how to find standard form given 2 points

Answers

9514 1404 393

Answer:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Step-by-step explanation:

The standard form equation of a line is of the form ...

  ax +by = c

where a, b, c are mutually prime integers. The leading coefficient must be positive.

__

The standard form equation of a line can be found for the two points (x1, y1) and (x2, y2) using the formula ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Using this equation, you must choose y2>y1. If y2=y1, you must choose x1>x2.

You will need to eliminate any fractions by multiplying the equation by an appropriate number. Once you have the numbers figured out, you need to factor out any common factors from the coefficients and the constant, so they are all mutually prime.

A mix weighs 38 pounds.the mix is 80% sand by weight.about how many pounds of sand are in the mix???
PLZZZ HELPP MEE RNNN

Answers

80x38=3040

bring the decimal over 2 places, and you get 30.4

80% of 38= 30.4 so there is 30.4 lbs of sand in the mix

I just need help with #16 … can someone please help me

Answers

Answer: it goes up like 10,20,30,40

Step-by-step explanation:

anyone help me? Solve this problem ​

Answers

the answer is in the picture I mentioned as the answer ok ◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

Writing equations in standard form:

Hi I need help with writing equations in standard form using points. The points are (4,5) and (-3,-1) I already found the slope which is 6/7 but I don’t know how to do the point slope form. This is the slope form if you don’t know:
Y-y1=m(x-x1)

Answers

You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11

Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11

You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

Step-by-step explanation:

anyone know this question: 16) -8(-21 - 2) - 6​

Answers

Answer:178

Step-by-step explanation:

distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.

researcher investigated whether the type of distraction (text message, app notification, no distraction) during a brief lecture influenced memory. The experiment was conducted with college students aged 18-23. Identify the independent variable(s).

Answers

Answer:

The independent variables are the students.

Step-by-step explanation:

It is the students because nothing else is independent, everything else is either dependent or not important to the question.

Will award Brainliest!

Answers

Answer:

RPO = 30

STO = 20

POR = 130

Step-by-step explanation:

TOS Obtuse because its larger than 90 = 130 degree

Answer:

A

Step-by-step explanation:

Becausd angle TPR is ninety degrees which is 90degrees

The sun of three numbers is 40. The second number is 6 more than the first. The third number is 1 less than 5 times the first. Find all three numbers.

Answers

Answer:

first n = 5

sec n = 11

third n = 24

Step-by-step explanation:

40-6+1 = 35

35/7 = 5

1st no = 5

2nd no = first + 6

= 5+6

= 11

3rd no = 5(first) - 1

= 5(5) - 1

= 25-1

= 24

double check total = 1st + 2nd + 3rd

= 5 + 11 + 24

= 40

(SHOW WORK) Write the slope-intercept form of the equation:

passes through (-2, 3) and is perpendicular to y = 1/4x - 4

Answers

Answer:

[tex]\displaystyle y = -4x - 5[/tex]

Step-by-step explanation:

We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:

[tex]\displaystyle y = \frac{1}{4} x - 4[/tex]

Note that this line has a slope of 1/4.

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.

We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Let (-2, 3) be (x₁, y₁) and substitute -4 for the slope m. Hence:

[tex]\displaystyle y - (3)= -4 (x - (-2))[/tex]

Convert into slope-intercept form. Simplify:

[tex]\displaystyle \begin{aligned} y -3 &= -4 (x + 2) \\ y - 3 &= -4x - 8 \\ y &= -4x -5\end{aligned}[/tex]

In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:

[tex]\displaystyle y = -4x - 5[/tex]

( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250

Answers

Answer: $1500

Step-by-step explanation:

Given information

Number of puppies = 6

Cost of each puppy = $250

Given expression deducted from the question

Total cost = number of puppies × cost of each

Substitute values into the expression

Total cost = 6 × 250

Simplify by multiplication

Total cost = [tex]\boxed{1500}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer $1500
Work
If one Cost $250 , and we need to fine the total of 6 puppies. So it 250 times 6 , then you will get the answer 1500
The total cost of 6 puppies is $1500

Ms. Johnson bought an area rug for her den. The perimeter is 30 feet. The width of the rug is
2yards What is the area of Ms. Johnson's rug in square feet and square yards?
in both feet and yards.

Answers

I believe it should be 54 square feet and 18 square yards

Answer:

6 sq yards, 54 sq feet

Step-by-step explanation:

30/3 = 10, 10 - 4 = 6, 6/2 = 3, 3 * 2 = 6

30/3 since we are calculating yards(3 ft = 1 yard), 10 -4 since 2 sides have the width of 2 yards. 6/2 since there is two sides left.

Basically the same thing for sq feet.

-6+-3-(-18)? what is the answer to this problem?

Answers

The answer to this problem is 9.

-6+(-3)-(-18)

Since (+)(-)=(-) and (-)(-)=(+),

-6-3+18

-9+18

9

Answer:

9

Step-by-step explanation:

-6 + -3 - (-18)

-6 - 3 + 18

-9 + 18

9

- (-) = +

+ (+) = +

- (+) = -

+ (-) = -

Help Me!

In this figure QR = XY ?

write the reason and find the pairs of matching angles.​

Answers

Answer:

Yes

Step-by-step explanation:

I think you just rotate the triangle...

But since angle P and angle Z are the same, they fix the position the rays will go and since ZY=PQ=6cm and ZX=RP=4cm, they are the same triangle so QR=XY.

Pairs of matching angles would be angle R= angle X and angle Q = angle Y

Answer:

Yes,By CPCT

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Please someone help please I’m stuck with this question please show work too

Answers

The domain is the set of all x-values or inputs used by the function. That narrows the answers down to B and D.

In this case, you can only have whole number inputs, since you can’t see 1/2 a pot.

Answer D would include everything, but Answer B only has whole numbers.

Your answer is B.

Distance & midpoint

Answers

Step-by-step explanation:

All steps are in picture above.

Note:if you need to ask any question please let me know.

even more math.......

Answers

Answer:

A

Step-by-step explanation:

We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.

Which is the least positive integer that should be multiplied with 2 × 2 × 2 × 3 so that we get
a perfect square?

Answers

Answer:

3

Step-by-step explanation:

In order to have a perfect square you have to have at least two prime factors, and since three is quite clearly not in a pair, the answer is three.

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