document.write( "Question 608313: Please help me factor the polynomial 4x²y² - 9y² - 45 + 20x² \n" ); document.write( "
Algebra.Com's Answer #383167 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Factor the polynomial:\r\n" );
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document.write( "4x²y² - 9y² - 45 + 20x²\r\n" );
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document.write( "Swap the last two terms:\r\n" );
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document.write( "4x²y² - 9y² + 20x² - 45\r\n" );
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document.write( "Factor GCF of y² out of just the first two terms:\r\n" );
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document.write( "y²(4x² - 9) + 20x² - 45\r\n" );
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document.write( "Factor GCF of + 5 out of the last two terms:\r\n" );
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document.write( "y²(4x² - 9) + 5(4x² - 9)\r\n" );
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document.write( "Factor GCF of + (4x² - 9) out of those two terms:\r\n" );
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document.write( "(4x² - 9)(y² + 5)\r\n" );
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document.write( "The first factor is the difference of two squares, so\r\n" );
document.write( "it will factor as the difference times the sum of the\r\n" );
document.write( "two square roots:\r\n" );
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document.write( "(2x -3)(2x + 3)(y² + 5)\r\n" );
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document.write( "That's completely factored.\r\n" );
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document.write( "Edwin
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