SOLUTION: Please help me to factor these two problems, I have the answers only, I need to see the work; Thank You so much workpot@yahoo.com (a+b)^2-(x-y)^2 and (2a+b)^2-(x-2y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me to factor these two problems, I have the answers only, I need to see the work; Thank You so much workpot@yahoo.com (a+b)^2-(x-y)^2 and (2a+b)^2-(x-2y      Log On


   



Question 231107: Please help me to factor these two problems, I have the answers only, I need to see the work; Thank You so much workpot@yahoo.com
(a+b)^2-(x-y)^2
and
(2a+b)^2-(x-2y)^2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(a+b)^2-(x-y)^2
The difference of any 2 squares, q^2 - r^2, is the sum times the difference.
q^2 - r^2 = (q+r)*(q-r)
------------
(a+b)^2-(x-y)^2 = {(a+b) + (x-y)}*{(a+b) - (x-y)}
= (a+b+x-y)*(a+b-x+y)
---------------------
and
(2a+b)^2-(x-2y)^2
= {(2a+b) + (x-2y)}*{(2a+b) - (x-2y)}
= (2a+b+x-2y)*(2a+b-x+2y)