SOLUTION: 1-x^2-y-xy

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Question 259983: 1-x^2-y-xy
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Color the first two terms black and the last two green

1-x%5E2green%28-y-xy%29

Factor the black part as the difference of two perfect squares:
Factor the green part by factoring out green%28-y%29

%281-x%29%2A%281%2Bx%29%29green%28-y%2A%281%2Bx%29%29%29

Now I will recolor it:

green%28%281-x%29%29%2Ared%28%281%2Bx%29%29%29green%28-y%29%2Ared%28%281%2Bx%29%29%29

Factor out the common red binomial factor red%28%281%2Bx%29%29%29
and put the two green factors as a sum inside another parentheses:


red%28%281%2Bx%29%29%28green%28%281-x%29-y%29%29

And you can remove the inner green parentheses:

red%28%281%2Bx%29%29%28green%281-x-y%29%29

And the final answer (without the colors) is

%281%2Bx%29%281-x-y%29

Edwin