SOLUTION: Factorise fully: a) x^2-(x-y)^2 and b) (x+y)^2-(x-y)^2 Please show each step Thanks very much!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factorise fully: a) x^2-(x-y)^2 and b) (x+y)^2-(x-y)^2 Please show each step Thanks very much!      Log On


   

Question 154840: Factorise fully:
a) x^2-(x-y)^2
and
b) (x+y)^2-(x-y)^2
Please show each step
Thanks very much!
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-(x-y)^2
X^2-(X^2-2XY+Y^2)
2XY-Y^2 ANSWER.
-------------------------
(x+y)^2-(x-y)^2
X^2+2XY+Y^2-(X^2-2XY+Y^2)
X^2+2XY+Y^2-X^2+2XY-Y^2
4XY ANSWER.