Question

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

Answer 1

Answer:

The correct option is 1.

Step-by-step 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.

Answer 2

Answer:

X6-27 is the answer

Step-by-step explanation: