SOLUTION: Plese help me to factorise the expression: -4(x-2y)^2+8(x-2y) Regards

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Question 8751: Plese help me to factorise the expression:
-4(x-2y)^2+8(x-2y)
Regards
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
-4%28x-2y%29%5E2+%2B+8%28x-2y%29
By taking the common factor, (x-2y), we get
(x-2y)[-4(x-2y) + 8]
= (x-2y)(-4x+8y+8)
= (x-2y).4(-x+2y+2)
= 4(x-2y)(-x+2y+2).....Answer


There is another way of solving this problem as below:-
Let (x-2y) be = a
So above experession will be
-4a%5E2+%2B+8a
= 4a(-a+2)
= now by replacing a by its original value,
= 4(x-2y)(-x+2y+2) ...... Answer
This way also we can factorise the expression.

gsm