SOLUTION: Factor completely: ax-ay+x^2-xy I am so Confused;0?

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Question 84515: Factor completely: ax-ay+x^2-xy I am so Confused;0?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ax-ay%2Bx%5E2-xy Start with the given equation

%28ax-ay%29%2B%28x%5E2-xy%29 Group like terms

a%28x-y%29%2Bx%28x-y%29 Factor an "a" out of the first group and factor an "x" out of the second group

%28a%2Bx%29%28x-y%29 Combine like terms

So ax-ay%2Bx%5E2-xy factors to %28a%2Bx%29%28x-y%29

Notice that if we foil %28a%2Bx%29%28x-y%29 we get ax-ay%2Bx%5E2-xy. This verifies our answer.