document.write( "Question 629067: What is the product of the expression (3x+2)(3x-5)? \n" ); document.write( "
Algebra.Com's Answer #396009 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%283x%2B2%29%283x-5%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%283x%29%2B2%29%28highlight%283x%29-5%29\" Multiply the First terms:\"%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%283x%29%2B2%29%283x%2Bhighlight%28-5%29%29\" Multiply the Outer terms:\"%283%2Ax%29%2A%28-5%29=-15%2Ax\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%282%29%29%28highlight%283x%29-5%29\" Multiply the Inner terms:\"%282%29%2A%283%2Ax%29=6%2Ax\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%282%29%29%283x%2Bhighlight%28-5%29%29\" Multiply the Last terms:\"%282%29%2A%28-5%29=-10\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"9%2Ax%5E2\", \"-15%2Ax\", \"6%2Ax\", \"-10\" \r
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\n" ); document.write( "\n" ); document.write( "\"9%2Ax%5E2-15%2Ax%2B6%2Ax-10\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"9x%5E2-9x-10\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%283x%2B2%29%283x-5%29\" FOILs to \"9x%5E2-9x-10\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%283x%2B2%29%283x-5%29=9x%5E2-9x-10\".\r
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