Question

Factor Completely (special factoring/group solve by factoring) PLEASE EXPLAIN STEP BY STEP - Not Just Answer.... I'm trying to learn
15m^3+12m^2-375m-300

Answer 1

This is grouping in parts...

select 15m^3 and 375m both have a common factor of 15m
12m^2 and 300 common factor of 12
which gives

\[15m(m^2 - 25) - 12(m^2 - 25) \]

now (m^2 - 25) is a common factor so its

\[(15m - 12)(m^2 - 25) \]

there are now more factoring that can be completed

m^2 - 25 is the difference of 2 squares

15m - 12 have a common factor of 3

\[(15m - 12)(m^2 - 25) = 3(5m - 4)(m-5)(m+5)\]

Answer 2

Thank you. I think I got it now.