document.write( "Question 628492: (3p^2-p)(3p^2-p) \n" ); document.write( "
Algebra.Com's Answer #395666 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%283p%5E2-p%29%283p%5E2-p%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%283p%5E2%29-p%29%28highlight%283p%5E2%29-p%29\" Multiply the First terms:\"%283%2Ap%5E2%29%2A%283%2Ap%5E2%29=9%2Ap%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%283p%5E2%29-p%29%283p%5E2%2Bhighlight%28-p%29%29\" Multiply the Outer terms:\"%283%2Ap%5E2%29%2A%28-p%29=-3%2Ap%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283p%5E2%2Bhighlight%28-p%29%29%28highlight%283p%5E2%29-p%29\" Multiply the Inner terms:\"%28-p%29%2A%283%2Ap%5E2%29=-3%2Ap%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283p%5E2%2Bhighlight%28-p%29%29%283p%5E2%2Bhighlight%28-p%29%29\" Multiply the Last terms:\"%28-p%29%2A%28-p%29=p%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"9%2Ap%5E4\", \"-3%2Ap%5E3\", \"-3%2Ap%5E3\", \"p%5E2\" \r
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\n" ); document.write( "\n" ); document.write( "\"9%2Ap%5E4-3%2Ap%5E3-3%2Ap%5E3%2Bp%5E2\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"9p%5E4-6p%5E3%2Bp%5E2\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%283p%5E2-p%29%283p%5E2-p%29\" FOILs to \"9p%5E4-6p%5E3%2Bp%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%283p%5E2-p%29%283p%5E2-p%29=9p%5E4-6p%5E3%2Bp%5E2\".\r
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