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

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Answer 1 · 2017-06-03T08:43:50

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

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 : $a^2-b^2 = (a+b)(a-b)$ ]

How do you factor 15m^3+12m^2-375m-30015m^3+12m^2-375m-300?