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

Question

1633 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-04T19:25:41

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

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

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

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

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

How do you factor 125t^3+ 27v^3125t^3+ 27v^3?