Question

a3 − b3 = (a − b)(a2 + ab + b2).Use the difference of cubes identity to write the expression x3 – 64 in factored form.

Answer 1

For this case we have the following expression

`x^3-64`

and we know that a= x and b= 4

Then using the formula given:

a^3 − b^3 = (a − b)(a^2 + ab + b^2).

We got:

`(x-4)(x^2+4x+16)`