Question

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

Answer 1

(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)