1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bulgar [2K]
3 years ago
7

Factor by using the difference of two cubes

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

Step-by-step explanation:

a) a^3-64b^3

=(a)^3-(4b)^3

=(a-4b)(a^2+4ab+16b^2)

b) 3x^3-81y^3z^6

=3(x^3-27y^3z^6)

=3{(x)^3-(3yz^2)^3}

=3(x-3yz^2)(x^2+3xyz^2+9y^2z^4)

c)16a^3b^3-54c^3d^3

=2(8a^3b^3-27c^3d^3)

=2{(2ab)^3-(3cd)^3

=2(2ab-3cd)(4a^2b^2+6abcd+9c^2d^2)

hope u got!!

You might be interested in
The sum of x and it’s opposite is always zero?
jeka94

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

5 0
3 years ago
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the pa
Ratling [72]

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

3 0
2 years ago
Read 2 more answers
Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
The U.S. Bureau of the Census predicted that the population of Pennsylvania would be about 12.7 million in 2010 and then would i
liraira [26]

Answer:

y=0. 24x + 12. 7

Step-by-step explanation:

since you start with 12. 7 and gain .24 each year, you would multiply the years by. 24 and just add the 12. 7 I hope this makes sense. also I love your profile picture :)

3 0
2 years ago
7/8 4/8 how much farther does 7/8 have than 4/8
MaRussiya [10]

The Correct Answer Is 3/8

6 0
2 years ago
Other questions:
  • Your friend is selling 5 tickets to the next ice hockey game for $80. You can buy 3 tickets online for $50. Which source offers
    5·2 answers
  • Which of the following represents the zeros of f(x) = 6x^3-31x^2+4x+5
    7·2 answers
  • What is 14145 divided by 23?
    7·2 answers
  • The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.
    9·1 answer
  • Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.
    6·1 answer
  • Can you Help me out plz!!
    11·1 answer
  • Determine the equation of the tangent to x− 3x +1 at the point (3,1)
    15·1 answer
  • 2. Simplify each expression.
    6·1 answer
  • What is (6x100) + (1x10) + (7x1) + (9 x 1/10) + (2x 1/1000) in standard form?
    15·1 answer
  • Use the Distributive Property to expand (−2x−7)4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!