SOLUTION: Factor completely 9x^4-44.

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Question 314498: Factor completely 9x^4-44.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E4-44=%283x%5E2-sqrt%2844%29%29%283x%5E2%2Bsqrt%2844%29%29
Let me make a subsitution to make the factoring clearer.
9x%5E4-44=%28a%5E2x%5E2-b%5E2%29%28a%5E2x%5E2%2Bb%5E2%29
where
a%5E2=3
a=sqrt%283%29+
b%5E2=sqrt%2844%29=2%2Asqrt%2811%29+
b=+sqrt%282%2Asqrt%2811%29%29+
9x%5E4-44=%28ax-b%29%28ax%2Bb%29%28ax-bi%29%28ax%2Bbi%29
and i=sqrt%28-1%29