SOLUTION: Simplify: (2-4y)^2 / 4y-2 Please explain clearly, step by step, how you got to the answer. Thank you!

Question 1007734: Simplify:
(2-4y)^2 / 4y-2
Please explain clearly, step by step, how you got to the answer. Thank you!
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
my worksheet is shown below:

$$$

the circled number steps are explained below.

1.
this is the original problem.
2.
the numerator is expanded to show the factors individually.
3.
the denominator of (4y-2) is the same as -(2-4y)
4.
one of the factors in the numerator is canceled out by the identical factor in the denominator.
5.
the result in number 4 is equivalent to the result shown in number 5.
6.
the result in number 5 is equivalent to the result shown in number 6.

note that:

(4y-2)*(-1) is equal to -4y+2 which is equal to 2-4y.

-(2-4y) is equal to (-1)*(2-4y) which is equal to -2+4y which is equal to 4y-2.
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