Question

Factor equation.

x²-y²+2x+2y

Answer 1

group it this way first:
\(\large (x^2-y^2)+(2x+2y) \)

factor that difference of squares...
factor the GCF from the second grouping....
then you can prolly factor once more...

Answer 2

\(\large (x^2-y^2)+(2x+2y) \)
\(\large (x-y)(x+y)+2(x+y) \)
\(\large (x-y)\color{red}{(x+y)}+2\color{red}{(x+y)} \)

Answer 3

Ok, when I got to your last step, should (x+y) be the answer sinced its factored?

Answer 4

no... the terms both have the same factor of (x+y)... that can be factored out....