
We can perform this because we were dealing with factors here. We were

multiplying between these two numbers. So we removed a common factor of x plus

y. And notice we still have multiplication here. Again if I think about

distributing this a to x plus y, I would get this first term, and if I

distributed this positive 2 to this x plus y, I would get my second term. This

factoring is the opposite, or the inverse, of the distributive property. So you

try one out. What would be the factored form for this expression? Write your

answer here. Be sure you use parentheses, and there's no need to put a

multiplication sign in between them.