SOLUTION: Factor the binomial completely. 256a^4 − 81b^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the binomial completely. 256a^4 − 81b^4      Log On


   

Question 1164881: Factor the binomial completely.
256a^4 − 81b^4
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
256 and 81 are perfect squares
(16a^2-9 b^2)(16a^2+9b^2)=(4a+3b)(4a-3b)(16a^2+9b^2)
The first term is also a difference of squares, the second is a sum of them and can't be factored with real numbers.