SOLUTION: Factor a) 4x^2 - 4x + 1 - y^2 Can you please help me ? Thanks so much in advance:)

Question 870177: Factor
a) 4x^2 - 4x + 1 - y^2
Can you please help me ? Thanks so much in advance:)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First factor to get

Note: a*c = 4*1 = 4, the two numbers -2 and -2 multiply to 4 and add to -4, so that's why I broke up -4x into -2x-2x

Note: is a perfect square trinomial, so you can use the special factoring formula for that.

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So

turns into

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Looking at we have a difference of squares. So use the difference of squares factoring formula to go from to . You can rearrange things to get

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The final answer is
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