SOLUTION: Factorize completely {{{ (2x^2 + xy -y^2) + 2x

SOLUTION: Factorize completely {{{ (2x^2 + xy -y^2) + 2x - y }}}

Question 824626: Factorize completely

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

This can be factored using factoring by grouping. And the expression already has the first group (in the parentheses). So we group the rest of the expression...

... and factor each group. The first group is a trinomial which factors. The second group can only be factored by factoring out a 1 (or -1):

As we can see, each group now has a common factor, 2x-y. So we can factor that out of each group:

or just

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