SOLUTION: I need help with answering this problem. Thanks! Factor Completely: a(to the power of 4) -(minus) b(to the power of 4)

Question 124758: I need help with answering this problem. Thanks!
Factor Completely: a(to the power of 4) -(minus) b(to the power of 4)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Factor Completely: a(to the power of 4) -(minus) b(to the power of 4)
:
We can write it:
(a^4 - b^4)
:
Recognize this as the "difference of squares"; factors to:
(a^2 + b^2) (a^2 - b^2)
:
(a^2 - b^2) is also the difference of squares and factors to:
(a + b)(a - b)
:
So you have (a^2 + b^2)(a - b)(a + b)
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