document.write( "Question 314498: Factor completely 9x^4-44. \n" ); document.write( "

Algebra.Com's Answer #224866 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9x%5E4-44=%283x%5E2-sqrt%2844%29%29%283x%5E2%2Bsqrt%2844%29%29\"$
\n" ); document.write( "Let me make a subsitution to make the factoring clearer.
\n" ); document.write( " $\"9x%5E4-44=%28a%5E2x%5E2-b%5E2%29%28a%5E2x%5E2%2Bb%5E2%29\"$
\n" ); document.write( "where
\n" ); document.write( " $\"a%5E2=3\"$
\n" ); document.write( " $\"a=sqrt%283%29+\"$
\n" ); document.write( " $\"b%5E2=sqrt%2844%29=2%2Asqrt%2811%29+\"$
\n" ); document.write( " $\"b=+sqrt%282%2Asqrt%2811%29%29+\"$
\n" ); document.write( " $\"9x%5E4-44=%28ax-b%29%28ax%2Bb%29%28ax-bi%29%28ax%2Bbi%29\"$
\n" ); document.write( "and $\"i=sqrt%28-1%29\"$
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