document.write( "Question 152484: How do you DIVIDE this rational expression:x^2+13x+12/x+2(divided by)x+1. \n" ); document.write( "
Algebra.Com's Answer #112074 by jim_thompson5910(35256)\"\" \"About 
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\"%28%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29%29%2F%28x%2B1%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29%29%2F%28%28x%2B1%29%2F%281%29%29\" Rewrite \"x%2B1\" as \"%28x%2B1%29%2F%281%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29%29%28%281%29%2F%28x%2B1%29%29\" Multiply the first fraction \"%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29\" by the reciprocal of the second fraction \"%28x%2B1%29%2F%281%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28x%2B12%29%28x%2B1%29%29%2F%28x%2B2%29%29%28%281%29%2F%28x%2B1%29%29\" Factor \"x%5E2%2B13x%2B12\" to get \"%28x%2B12%29%28x%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B12%29%28x%2B1%29%29%2F%28%28x%2B2%29%28x%2B1%29%29\" Combine the fractions. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B12%29highlight%28%28x%2B1%29%29%29%2F%28%28x%2B2%29highlight%28%28x%2B1%29%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B12%29cross%28%28x%2B1%29%29%29%2F%28%28x%2B2%29cross%28%28x%2B1%29%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B12%29%2F%28x%2B2%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29%29%2F%28x%2B1%29\" simplifies to \"%28x%2B12%29%2F%28x%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28%28x%5E2%2B13x%2B12%29%2F%28x%2B2%29%29%2F%28x%2B1%29=%28x%2B12%29%2F%28x%2B2%29\" where \"x%3C%3E-1\" or \"x%3C%3E-2\"
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