document.write( "Question 82876: I already posted one question and i had some idea of that one, but this one completely confuses me. \"+%28x-7%2B%2812%2Fx%29%29%2F%28x-5%2B%286%2Fx%29%29+\" i do not understand how to simplify this one. please assist me. thanks a bunch. \n" ); document.write( "
Algebra.Com's Answer #59458 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"+%28x-7%2B%2812%2Fx%29%29%2F%28x-5%2B%286%2Fx%29%29+\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x%2Fx%29%28%28x-7%2B%2812%2Fx%29%29%2F%28x-5%2B%286%2Fx%29%29%29+\" Multiply both top and bottom by x\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x%5E2-7x%2B12%29%2F%28x%5E2-5x%2B6%29+\" Distribute each x\r
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\n" ); document.write( "\n" ); document.write( "Now factor the top and bottom individually\r
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\n" ); document.write( "\n" ); document.write( "Factor the numerator\r
\n" ); document.write( "\n" ); document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Error occurred executing solver 'quadratic_factoring' .

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\n" ); document.write( "\n" ); document.write( "Factor the denominator\r
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\n" ); document.write( "\n" ); document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Error occurred executing solver 'quadratic_factoring' .

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\n" ); document.write( "\n" ); document.write( "So we after factoring we get:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-3%29%28x-4%29%29%2F%28%28x-2%29%28x-3%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28x-3%29%29%28x-4%29%29%2F%28%28x-2%29cross%28%28x-3%29%29%29\" Cancel like terms\r
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\n" ); document.write( "\n" ); document.write( "So everything reduces to:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%2F%28x-2%29\"\r
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