Which expression is a difference of cubes?
x^6-6
x^6-8
x^8-6
x^8-8

The correct expression is,

Step-by-step explanation:

is represented in cube form as,

'8' is represented in cube form as,

and '6' will not show cube form of integer power.

The expanded form of the given expression, is represented as,

This expression will showing the difference of cubes.

And the other options, will not show the difference of cubes.

Therefore, the correct answer is,

The expression is a difference of cubes. Option (b) is correct.

Further Explanation:

The cubic formula can be expressed as follows,

Given:

The options are as follows,

(a).

(b).

(c).

(d).

Calculation:

8 is a cube of 2 and can be written as follows,

can be written as a cube of

Use the identity in above expression.

The expression is a difference of cubes. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about unit conversion

2. Learn more about non-collinear

3. Learn more aboutbinomial and trinomial

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: Solution, factorized form, , exponents, power, equation, power rule, exponent rule.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2