How do you factor out these polynomials

Please help me step by step, these are so hard :(


1) 5(m+p)^3-10(m+p)^2-15(m+p)^4 answer: 5(m+p)^2(m+p-2-3m^2-6mp-3p^2)

2) -9a^2(p+q)-3a^2(p+q)^2+6a(p+q)^3

Like a typical math book they only give answers for the odd numbers but that doesn't do me any good if i dont understand how to factor it. :/



@bagel if you are answering this, thank you for helping me with the others! ^_^

1) To make it less confusing I'd suggest writing this down on paper (powers easier to understand on paper)

1. First you can factor out 5 (very simple)
5 [(m + p)³ - 2(m + p)² - 3(m + p)^4]

2. Now the harder part; you can actually factor out (m + p)².
5(m + p)² [(m + p) - 2 - 3(m+p)²]

3. Simplify the second bracket
5(m + p)² [m + p - 2 - 3(m² + 2mp + p²)]

4. Continue simplifying and your done!
5(m + p)² (m + p - 2 - 3m² + 6mp + 3p²)

Complete the second question similarly
PM if you need help ^.^

Something like this:

5(m+p)^3-10(m+p)^2-15(m+p)^4
find whats in common in each
5 goes into 5,10, and 15 ; exponents you have 3,2,4 and take 2 out of
each

5^2 (m+p)^1 - 2(m+p) - 3(m+p)^2

and thats about it i know how to do sorry im no help