How do you factor $a^2+ab-2b^2+2a-2b$ ?

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Answer 1 · 2015-04-15T17:27:10

(a-b)(a+2b+2)

Rewrite the expression as $a^2$ - $b^2$ +ab - $b^2$ +2a -2b. Now pair the terms as ( $a^2$ - $b^2$ ) +(ab - $b^2$ ) +(2a -2b)

= (a-b)(a+b) +b(a-b) +2(a-b)

=(a-b)( a+b +b+2)

=(a-b)(a+2b +2)

How do you factor a^2+ab-2b^2+2a-2ba^2+ab-2b^2+2a-2b?