SOLUTION: factor this please 4x^4-4x^2+1

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Question 236957: factor this please
4x^4-4x^2+1

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
4x^4-4x^2+1
=4x^4-2x^2-2x^2+1 Multiply a*c (4*1=4) and find which 2 factors of 4 add up to b (-4)
Answer=-2 and -2
=2x^2(2x^2-1)-(2x^2-1) factoring by grouping.
=(2x^2-1)(2x^2-1)
=(2x^2-1)^2
.
Ed