Factor the expression

(3x − 6) (4x² − 1) – (2x − 4) (4x² + 4x + 1)

Answers

Answer 1

Step-by-step explanation:

[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]

>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)

>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]

> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²

> (x-2)(2x+1) [3(2x-1)-2(2x+1)]

> (2x²-3x-2)(6x-3-4x-2)

> (2x²-3x-2)(2x-5).

hope this helps you.


Related Questions

FREE PTS! If you had 3 wishes, what would you wish for? (Besides more genies or wishes)​

Answers

Answer:

Step-by-step explanation:

Answer:

-I'd wish to limit the greed in this world

-Vanish global warming

-Bring back family/ freinds who left too early

Step-by-step explanation:

Find the volume of the cone show all your work .

Answers

Answer:

hope this helps you out good luck

Please help help me please ASAP
No links or files
This is for brainies

Answers

Answer:

quadrant 2

Step-by-step explanation:

i hope this helps :)

I WILL GIVE YOU BRAINLIEST Which of the following lines are parallel to Y = 1/4X - 3? A. 2Y = 1/3X + 2 B. 4Y = 4X + 3 C. 3Y = 3/4X + 6

Answers

Answer:

3Y=3/4X +6

Step-by-step explanation:

3Y=3/4X +6 is parallel to Y=1/4X-3

What is the slope of the line?
hurryyyy

Answers

Answer:

slope = 3

Step-by-step explanation:

if each square is equal to 1

The slope has to be 3.

you can see it, because between those 2 point you can count 3 spaces in y-vertex, and 1 space in x-vertex

what that means is that we will move 3 steps up (or down) for each 1 space in x-vertex.

you can see it just right there on the graph

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

0.766766676666766666.....0.77896543567543120.....

Given cos x = 3/5 and 3pi /2 < x < 2 and sin y = ─ square root 2/2,
and < y < 3pi /2; evaluate tan (x ─ y).

Answers

Answer:

Step-by-step explanation:

*please help* What is the measure of angle ADC?

Answers

23 degrees






That is your answer and if I’m wrong then I’m sorry

How would you plot -3,-3 on a coordinate plane??

Answers

You plot -3 on x-axis and -3 on the y-axis

Mark with crown!
starting from the center, go three lines to the left then down three lines

Please help me out



Find the area .

Answers

Answer:

its27.54 8.1×3.4 =27.54 base×height

which expression is equivalent to the problem shown?

Answers

B
............................

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. If a salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary?

Answers

Answer:

$60,000

Step-by-step explanation:

Given data

Base salary=$35000

commssion= 10%

Sales=  $250,000

Let us find the commission

=10/100* 250,000

=0.1*250,000

=25000

Hence the total income is

=25000+35000

=$60,000

Please help..
Solve for the area of the figure below and show work.

Answers

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:

[tex]A = \frac{bh}{2}[/tex]

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Bottom Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Top Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Bottom Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Now, we add all the areas together to get the area of the kite figure.

A = [tex]\frac{27}{2}[/tex] +

A = 27 + 12

A = 39

The area of the kite figure is 39 [tex]m^{2}[/tex].

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

If the bottom side length is 9, then we would use the formula:

A = [tex]\frac{a + b}{2} h[/tex]

to find the area of the entire trapezoid.

A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2

A ≈ 46.74 [tex]mi^{2}[/tex]

#teamtrees #PAW (Plant And Water)

Pls help asap thx
...​

Answers

Answer:

70

Step-by-step explanation:

35 times 4 = 140. 210-140= 70

I need help on these Math questions ASAP. Sorry if I come off as annoying. I don't understand these questions and I've researched everything. They've been overdue for about a week now. Sorry.

Answers

Answer:

Ok

Step-by-step explanation:

you are charged 6% salex tax. You purchase a new bicycle and pay $27 in sales tax what is the purchase price of the bicycle

Answers

Answer:

33$

Step-by-step explanation:

Beacuse when you just ad 27 plus 6 not 6%

help pls i really need help like really so pls i will giv brainly est and money pls 20 dollar i need help pls pls pls i cant do math pls

Answers

Answer:

what do you need help with?

change 10 inches per second to miles per second

Answers

Answer:

I don’t even know, what was the question?

Step-by-step explanation:

0.000157828283 miles per second

Select the correct answer.
Martina creates the graph of function g by applying a transformation to function f:

f(x) = 4x − 2
g(x) = 4x + 7

Which transformation did Martina apply?

A.
a horizontal shift of 9 units left
B.
a vertical shift of 9 units down
C.
a horizontal shift of 9 units right
D.
a vertical shift of 9 units up

Answers

Answer:

D

Step-by-step explanation:

the b value of mx+b is the y intercept which only moves up and down.

find the value of x
578−3x=501

Answers

Answer:

25+2/3

Step-by-step explanation:

578-3x=501

-3x=501-578

-3x=-77

x=-77/-3

x=25+2/3

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.

Answers

Answer:

245

Step-by-step explanation:

Multiply the numbers together

7×5×7

245

hope it helps...

Expand and simplify
5 (p+6) - 2 (3p+4)
and
7 (k-2) - 3 (2k-5)
Find the nth term for each sequence
5,9,13,17,21

1,8,15,22,29

10,6,2,-2,-6

Please help​

Answers

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

can anyone answer this math question for me plz?

Answers

Answer: C

Explanation: 15% off of $45 is $38.25, and 10% off of $40 is $36. Techno hut is cheaper by $2.25.

Find the equation of the line
(Use exact numbers)

Y=___x+___
Please help

Answers

Answer: Y=2x+4

Step-by-step explanation:

1st step: Find the y-int ==> Y-int= 4

2nd step= To find the x-int go up 2 and go to the right 1 ==> 2/1=2

Y=2x+4

What is the variable in the expression 12 + 5y + 4

Answers

the variable is usually after the coefficient
so y would be the variable
The variable is typically the letter in the equation. It’d be y here.

Matt bought notebooks at the store for $1.07 each. He spent $3.21 on the notebooks. Let x represent the number of notebooks Matt bought. Use the equation 1.07x = 3.21 to find the number of notebooks he bought.

Answers

answers 3, you move 1.07 under 3.21 and divide those two and you get 3.

Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?

Answers

3 7/10 + 5 4/10 = 8 11/10 = 9 1/10

so estimate = 9

actual answer = 9 1/10

yes, his answer is reasonable

brainliest or a thank you please :)) <33

What is the next term of the geometric sequence 5, 20,80

Answers

Answer:

a₄ = 320

Step-by-step explanation:

To obtain a term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then

a₄ = 4 × a₃ = 4 × 80 = 320

Materials that do not let current flow easily are called insulators. Most nonmetal materials such as plastic, wood and rubber are insulators

Answers

Answer:

and??

Step-by-step explanation:

The approximate circumference of a pizza is 107 inches. What is the radius of the pizza? Use 3.14 for π.

Answers

Answer:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

where r is the radius

since circumference is 107 inches

[tex]107 \: = \: 2 \times 3.14 \times r \\ 107 \: = \: 6.28 \times r \: \\ \frac{107}{6.28} \: = \: r \\ r \: = 17.03 \: inches[/tex]
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