SOLUTION: factor the following polynomial as completely as possible (((4c^4x^2-x^2-16c^4+4)))

Question 117697: factor the following polynomial as completely as possible
(((4c^4x^2-x^2-16c^4+4)))
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Hint: Next time, use { } instead of ( ) to express your equations.
Factor as completely as possible:
Regroup the terms as shown:
Now, group these into the two groups as shown, and don't forget the sign-change on the last term when add the parentheses.
Now factor each group. The first group has the common factor of while the second group has no common factor.
Now you can factor the common factor of
Notice now that these two terms are both "difference of squares" binomials and these can be further factored. We'll do on set at a time.
and...
so...putting it all together, we get:

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