Question

Factor 4z^3 – 500y^3

Answer 1

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^3 − b^3 =( a−b) (a^2+ ab +b^2 ) where a=z and

b=5y.

4(z−5y)(z2+5zy+25y2)

Answer 2

4(z-5^y) (z^2+5zy+25y^2)