Question

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

Answer 1

`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)`