SOLUTION: factor the polynomial completely. 16x^4-81 chapter 5 third edition elementary algebra

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Question 72201: factor the polynomial completely.
16x^4-81


chapter 5 third edition elementary algebra
Answer by pradhyumna.kumar@gmail.com(62) About Me  (Show Source):
You can put this solution on YOUR website!
16x^4-81 = (2x)^4 - (3)^4 or (4x^2)^2 - (9)^2
= (4x^2+9)(4x^2-9)
= (4x^2+9)((2x)^2-(3)^2)
= (4x^2+9)(2x+3)(2x-3)