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) (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}