SOLUTION: i need to factor out 2ax-ay+2bx-by into the simplest form. Im not quite sure how to get that ay and by to be simplified without the 2.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need to factor out 2ax-ay+2bx-by into the simplest form. Im not quite sure how to get that ay and by to be simplified without the 2.      Log On


   



Question 468748: i need to factor out 2ax-ay+2bx-by into the simplest form. Im not quite sure how to get that ay and by to be simplified without the 2.
Found 2 solutions by mananth, algebrahouse.com:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2ax-ay+2bx-by
a(2x-y)+b(2x-y)
(a+b)(2x-y)

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
2ax - ay + 2bx - by
= 2ax + 2bx - ay - by {re-arranged the terms, focusing on grouping terms with common factors together}
= 2x(a + b) - y(a + b) {factored 2x out of 1st two terms and -y out of 3rd and 4th terms}
= (a + b)(2x - y) {factored out the greatest common factor, a + b}

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