Question 63901: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of this section. Then continue the exercise and factor the polynomial:
m^4 – 9n^4
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of this section. Then continue the exercise and factor the polynomial:
m^4 – 9n^4
USE X^2-Y^2=(X+Y)(X-Y)
(M^2)^2-(3N^2)^2 = (M^2+3N^2)(M^2-3N^2)
AGAIN
=(M^2+3N^2)[M+N*SQRT(3)][M-N*SQRT(3)]
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