SOLUTION: Simplify/Factor: (a-2b)(a+3b)(b-a)-(4a+5b)(a-b)(a-2b) the answer is (b-a)(a-2b)(5a+8b) I can definitely see the familiarities in the answer and question but i really don'

Question 158078: Simplify/Factor:
(a-2b)(a+3b)(b-a)-(4a+5b)(a-b)(a-2b)
the answer is (b-a)(a-2b)(5a+8b)
I can definitely see the familiarities in the answer and question but i really don't know how the book arrived at that answer.
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let and (note: ). So this means that the expression

becomes

Rearrange the terms.

Factor out the GCF

Combine like terms.

Plug in and

So factors to (the order of the factors does not matter)

Note: the factor is equivalent to
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Try this!
Factor the indicated factors from both terms.
Now, so make the substitution in the second term.
Factor the indicated factors from both terms and change the - to +
Perfom the indicated addition.

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