SOLUTION: Use grouping to factor 10ax-5ay +2bx – by. Explain each step.

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Question 1038322: Use grouping to factor 10ax-5ay +2bx – by. Explain each step.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

10ax-5ay+2bx-by

Factor first two terms: 10ax-5ay as 5a(2x-y)
Factor last two terms:  +2bx-by as +b(2x-y)

5a(2x-y)+b(2x-y)

Let U = (2x-y)

5aU+bU

U(5a+b)

Replace U by (2x-y)

(2x-y)(5a+b)

Edwin