Question

How do you factor `15m^3+12m^2-375m-300`?

Answer 1

3(5m+4)(m+5)(m-5)

Explanation:

Given, `15m^3+12m^2-375m-300`

`rArr 3(5m^3+4m^2-125m-100)`

`rArr 3[m^2(5m+4)-25(5m+4)]`

`rArr 3(m^2-25)(5m+4)`

`rArr 3(5m+4)[(m)^2-(5)^2]`

`rArr 3 (5m+4)(m+5)(m-5)` [ Note : `a^2-b^2 = (a+b)(a-b)`]