Question

Use the sum and difference of cubes formulas to factor.

x^3-64

Answer 1

\[a^3-b^3=(a-b)(a^2-ab+b^2)\]
here
\[a=x,b=4\] fill in the blanks

Answer 2

In general for difference of cubes:

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

In this case:
x^3 - 4^3 = (x-4)(x^2 +4x +16)