document.write( "Question 903823: How do I factor this?
\n" ); document.write( "\"m4+-38m%5E2n%5E2+%2B+72n%5E4\"\r
\n" ); document.write( "\n" ); document.write( "The answer is \"%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29\"
\n" ); document.write( "I'm confused on how they got this answer. The 38 is not a typo, either. \n" ); document.write( "
Algebra.Com's Answer #548346 by MathTherapy(10553)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "How do I factor this?
\n" ); document.write( "\"m4+-38m%5E2n%5E2+%2B+72n%5E4\"\r
\n" ); document.write( "\n" ); document.write( "The answer is \"%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29\"
\n" ); document.write( "I'm confused on how they got this answer. The 38 is not a typo, either.
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document.write( "\"m%5E4+-+38m%5E2n%5E2+%2B+72n%5E4+\"
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document.write( "\"m%5E4+-+38m%5E2n%5E2+%2B+72n%5E4+\"
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document.write( "The factors of 72 that sum to 72 (a * c), and differ by 38 (b), are 36 and 2
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document.write( "Therefore, \"m%5E4+-+38m%5E2n%5E2+%2B+72n%5E4\" becomes:
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document.write( "\"m%5E4+-+36m%5E2n%5E2+-+2m%5E2n%5E2+%2B+72n%5E4\"
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document.write( "\"m%5E2%28m%5E2+-+36n%5E2%29+-+2n%5E2%28m%5E2+-+36n%5E2%29\" -------- Factoring out GCF from each pair of binomials
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document.write( "\"%28m%5E2+-+2n%5E2%29%28m%5E2+-+36n%5E2%29\"
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document.write( "\"highlight_green%28highlight_green%28%28m%5E2+-+2n%5E2%29%28m+-+6n%29%28m+%2B+6n%29%29%29\" -------- Factoring \"%28m%5E2+-+36n%5E2%29\" further \n" );
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