document.write( "Question 147513: Expand\r
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Algebra.Com's Answer #107915 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"%28a-3b%29%5E2+\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28a-3b%29%28a-3b%29\" Expand. Remember something like \"x%5E2=x%2Ax\".\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%28a%29-3b%29%28highlight%28a%29-3b%29\" Multiply the First terms:\"%28a%29%2A%28a%29=a%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28a%29-3b%29%28a%2Bhighlight%28-3b%29%29\" Multiply the Outer terms:\"%28a%29%2A%28-3%2Ab%29=-3%2Aa%2Ab\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28a%2Bhighlight%28-3b%29%29%28highlight%28a%29-3b%29\" Multiply the Inner terms:\"%28-3%2Ab%29%2A%28a%29=-3%2Aa%2Ab\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28a%2Bhighlight%28-3b%29%29%28a%2Bhighlight%28-3b%29%29\" Multiply the Last terms:\"%28-3%2Ab%29%2A%28-3%2Ab%29=9%2Ab%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-3%2Aa%2Ab-3%2Aa%2Ab%2B9%2Ab%5E2\" Now collect every term to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-6%2Aa%2Ab%2B9%2Ab%5E2\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28a-3b%29%5E2+\" FOILS to \"a%5E2-6%2Aa%2Ab%2B9%2Ab%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28a-3b%29%5E2+=a%5E2-6%2Aa%2Ab%2B9%2Ab%5E2\".\r
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