document.write( "Question 512893: 48x^2y+72xy^2+27y^3 Completely factor the expression \r
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Algebra.Com's Answer #342790 by Edwin McCravy(20055)\"\" \"About 
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document.write( "48x²y + 72xy² + 27y³\r\n" );
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document.write( "The GCF is 3y.  So we take that out:\r\n" );
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document.write( "3y(16x² + 24xy + 9y²)\r\n" );
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document.write( "Notice that the first and last terms of the trinomial in \r\n" );
document.write( "the parentheses are squares since 16x² = (4x)² and 9y² = (3y)².\r\n" );
document.write( "Whenever that is the case, we remember the rule that \r\n" );
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document.write( "A² + 2AB + B² = (A + B)²\r\n" );
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document.write( "and we check to see if we let A = 4x and B = 3y, then 2AB would equal the\r\n" );
document.write( "middle term 24xy.  We see that it would, since 2(4x)(3y) does equal to 24xy,\r\n" );
document.write( "the middle term in the trinomial, so (A + B)² becomes (4x + 3y)² and so\r\n" );
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document.write( "3y(16x² + 24xy + 9y²)\r\n" );
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document.write( "becomes\r\n" );
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document.write( "3y(4x + 3y)²\r\n" );
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document.write( "Edwin
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