document.write( "Question 376624: find the gcf of the product (15y+20)(15y+21)
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Algebra.Com's Answer #267914 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%2815y%2B20%29%2815y%2B21%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "Now let's FOIL the expression.\r
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\n" ); document.write( "\n" ); document.write( "Remember, when you FOIL an expression, you follow this procedure:\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%2815y%29%2B20%29%28highlight%2815y%29%2B21%29\" Multiply the First terms:\"%2815%2Ay%29%2A%2815%2Ay%29=225%2Ay%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%2815y%29%2B20%29%2815y%2Bhighlight%2821%29%29\" Multiply the Outer terms:\"%2815%2Ay%29%2A%2821%29=315%2Ay\".\r
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\n" ); document.write( "\n" ); document.write( "\"%2815y%2Bhighlight%2820%29%29%28highlight%2815y%29%2B21%29\" Multiply the Inner terms:\"%2820%29%2A%2815%2Ay%29=300%2Ay\".\r
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\n" ); document.write( "\n" ); document.write( "\"%2815y%2Bhighlight%2820%29%29%2815y%2Bhighlight%2821%29%29\" Multiply the Last terms:\"%2820%29%2A%2821%29=420\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"225%2Ay%5E2\", \"315%2Ay\", \"300%2Ay\", \"420\" \r
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\n" ); document.write( "\n" ); document.write( "\"225%2Ay%5E2%2B315%2Ay%2B300%2Ay%2B420\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"225%2Ay%5E2%2B615%2Ay%2B420\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%2815y%2B20%29%2815y%2B21%29\" FOILs to \"225%2Ay%5E2%2B615%2Ay%2B420\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%2815y%2B20%29%2815y%2B21%29=225%2Ay%5E2%2B615%2Ay%2B420\".\r
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\n" ); document.write( "\n" ); document.write( "Now because the number 3 is the GCF of all the terms, this means that the GCF is 3.\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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