document.write( "Question 608140: (x+3y) (x-y) \n" ); document.write( "
Algebra.Com's Answer #383063 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B3y%29%28x-y%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%28x%29%2B3y%29%28highlight%28x%29-y%29\" Multiply the First terms:\"%28x%29%2A%28x%29=x%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28x%29%2B3y%29%28x%2Bhighlight%28-y%29%29\" Multiply the Outer terms:\"%28x%29%2A%28-y%29=-y%2Ax\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2Bhighlight%283y%29%29%28highlight%28x%29-y%29\" Multiply the Inner terms:\"%283%2Ay%29%2A%28x%29=3%2Ay%2Ax\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2Bhighlight%283y%29%29%28x%2Bhighlight%28-y%29%29\" Multiply the Last terms:\"%283%2Ay%29%2A%28-y%29=-3%2Ay%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"x%5E2\", \"-y%2Ax\", \"3%2Ay%2Ax\", \"-3%2Ay%5E2\" \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-y%2Ax%2B3%2Ay%2Ax-3%2Ay%5E2\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2yx-3y%5E2\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%2B3y%29%28x-y%29\" FOILs to \"x%5E2%2B2yx-3y%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%2B3y%29%28x-y%29=x%5E2%2B2yx-3y%5E2\".\r
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\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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