document.write( "Question 316254: Hello. I need to find the greatest common divisor of:\r
\n" ); document.write( "\n" ); document.write( "\"3y%5E3-27y\" and \"6y%5E3%29%2B12y%5E2-90y\"\r
\n" ); document.write( "\n" ); document.write( "I know to pull out 3y from the first expression to get:\r
\n" ); document.write( "\n" ); document.write( "\"3y%28y%5E2-9%29\"\r
\n" ); document.write( "\n" ); document.write( "and \"6y\" from the second expression to get:\r
\n" ); document.write( "\n" ); document.write( "\"6y%28y%5E2%2B2y-15%29\"\r
\n" ); document.write( "\n" ); document.write( "However, I do not know how to progress to the answer \"3y%5E2-9y\" as the GCD. If you could help me, it would be much appreciated!
\n" ); document.write( "~hbanana\r
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Algebra.Com's Answer #226180 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Hello. I need to find the greatest common divisor of:\r
\n" ); document.write( "\n" ); document.write( "\"3y%5E3-27y\" and \"6y%5E3%29%2B12y%5E2-90y\"\r
\n" ); document.write( "\n" ); document.write( "I know to pull out 3y from the first expression to get:\r
\n" ); document.write( "\n" ); document.write( "\"3y%28y%5E2-9%29\".
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\r\n" );
document.write( "Right there you need to factor the \"red%28%28y%5E2-9%29%29\" as \"red%28%28y-3%29%28y%2B3%29%29\"\r\n" );
document.write( "and get:\r\n" );
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document.write( "\"red%283y%28y-3%29%28y%2B3%29%29\".\r\n" );
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\n" ); document.write( "and 6y from the second expression to get:\r
\n" ); document.write( "\n" ); document.write( "\"6y%28y%5E2%2B2y-15%29\"\r
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\r\n" );
document.write( "Right there you need to factor the \"red%28%28y%5E2%2B2y-15%29%29\" as \"red%28%28y-3%29%28y%2B5%29%29\"\r\n" );
document.write( "and get:\r\n" );
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document.write( "\"red%286y%28y-3%29%28y%2B5%29%29\"\r\n" );
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document.write( "So you have to get the GCD of\r\n" );
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document.write( "\"red%283y%28y-3%29%28y%2B3%29%29\" and \"red%286y%28y-3%29%28y%2B5%29%29\"\r\n" );
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document.write( "They have factors \"red%283%29\", \"red%28y%29\", and \"red%28%28y-3%29%29\" in common.\r\n" );
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document.write( "So the GCF is \"3y%28y-3%29\" which when multiplied out gives \"3y%5E2-9y\"\r\n" );
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document.write( "Edwin
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