Question 192644: Factor: (16X^4)-1
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! If you saw:
a^2 - b^2
This is a "difference of squares" -- which factors out to:
(a-b)(a+b)
.
So, if you started with:
(16X^4)-1
Notice we can rewrite it as:
(4x^2)^2 - 1^2
Now, you have a difference of squares resulting in:
(4x^2 - 1)(4x^2 + 1)
.
Oh wait, but (4x^2 - 1) is also a difference squares:
(2x-1)(2x+1)(4x^2 + 1)
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