Question

Which is a difference of cubes?

x6 – 27
x15 – 36
x16 – 64
x5 – 125

Answer 1

X6-27 is the answer

Explanation:

Answer 2

The correct option is 1.

Explanation:

The difference of cubes is defined as

`a^3-b^3=(a-b)(a^2+ab+b^2)`

The given expression is

`x^6-27`

It can be written as

`x^6-3^3`

Using the property of exponent, the above expression can be written as

`(x^2)^3-3^3`
`[\because (x^m)^n=x^(mn)]`

This is a difference of cubes.

Therefore the correct option is 1.