document.write( "Question 174861: x-4-[7/(x+2)] Divided by x+5+[2/(x+2)] \n" ); document.write( "
Algebra.Com's Answer #129930 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28x-4-7%2F%28x%2B2%29%29%2F%28x%2B5%2B2%2F%28x%2B2%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " Multiply every term by the inner LCD \"x%2B2\" to clear the inner fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%28x%2B2%29-4%28x%2B2%29-7%29%2F%28x%28x%2B2%29%2B5%28x%2B2%29%2B2%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B2x-4x-8-7%29%2F%28x%5E2%2B2x%2B5x%2B10%2B2%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-2x-15%29%2F%28x%5E2%2B7x%2B12%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-5%29%28x%2B3%29%29%2F%28x%5E2%2B7x%2B12%29\" Factor the numerator\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-5%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B3%29%29\" Factor the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-5%29highlight%28%28x%2B3%29%29%29%2F%28%28x%2B4%29highlight%28%28x%2B3%29%29%29\" Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-5%29cross%28%28x%2B3%29%29%29%2F%28%28x%2B4%29cross%28%28x%2B3%29%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-5%29%2F%28x%2B4%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x-4-7%2F%28x%2B2%29%29%2F%28x%2B5%2B2%2F%28x%2B2%29%29\" simplifies to \"%28x-5%29%2F%28x%2B4%29\"
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