I'm having a little trouble understanding why I can't factor certain groups in this equation:
Original eq.: x^2+2xy+y^2/x^2-2xy+y^2 multiplied by (x-y)/5x+5y
I factored: (x+y)^2/(x-y)^2 multiplied by (x-y)/5(x+y)
Here is the trouble, I want to cancel out the exponents, and both pairs of the (x+y)s and (x-y) and only have the 5 remaining but that is not correct. The correct answer is: (x-y)/5(x+y) and I don't understand how. I hope this makes sense!