Question

Factor each completelyFactoring the sum or difference of cube a) 432 + 250m^3

Answer 1

2(6 + 5m)(36 - 30m + 25m^2)

EXPLANATION :

From the problem, we have :

`432+250m^3`

Factor out 2 :

`432+250m^3=2(216+125m^3)`

Note that the binomial inside the parenthesis is a sum of two cubes which can be factored as :

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

The cube root of 216 is 6 and of 125m^3 is 5m

So that will be :

`2(216+125m^3)=2(6+5m)(36-30m+25m^2)`