Which is a difference of cubes? x6 – 27 x15 – 36 x16 – 64 x5 – 125

Question

asked Apr 16, 2019 16.4k views

2 Answers

Hugocabral · Answer 1 · 2019-04-22T03:21:52+0000

Answer:

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.