SOLUTION: This question has to do with "To multiply polynomials that have special products" it asks to simplify or expand. Here is the question.
(x-y)^2-(x+y)^2 Ive tried to work ou
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: This question has to do with "To multiply polynomials that have special products" it asks to simplify or expand. Here is the question.
(x-y)^2-(x+y)^2 Ive tried to work ou
Log On
Question 268324: This question has to do with "To multiply polynomials that have special products" it asks to simplify or expand. Here is the question.
(x-y)^2-(x+y)^2 Ive tried to work out the problem a various ways; however, I can never seem to work out properly. I know the correct answer is -4xy just not sure hot to get it. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! (x-y)^2-(x+y)^2
-----------------
2 ways to do this:
You can multiply everything out, collect terms.
= x^2 - 2xy + y^2 - (x^2 + 2xy + y^2)
= -4xy
--------
Or, treat it as the difference of 2 squares a^2 - b^2
a^2 - b^2 = (a+b)*(a-b)
-----------
(x-y)^2-(x+y)^2 = { (x-y) + (x+y) }*{ (x-y) - (x+y) }
= (2x)*(-2y)
= -4xy
