How do you factor 125t^3+ 27v^3?

1 Answer
Dec 4, 2015

125t^3 + 27v^3 = (5t+3v)(25t^2- 15tv + 9v^2)

Explanation:

Note: x^3 + y^3 = (x+y)(x^2 -xy+y^2) " " " " " (1)

x^3 -y^3 = (x-y)(x^2 -xy+y^2)

125t^3 + 27v^3 = 5^3 t^3 + 3^3v^3

= (5t+3v)(25t^2- 15tv + 9v^2)