document.write( "Question 188590: Simplify. State any restrictions on the variable[thanks for your wonderful help]\r
\n" ); document.write( "\n" ); document.write( "x^2+x-6/x^2+3x\r
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\n" ); document.write( "\n" ); document.write( "4x^2-25/2x^2+3x-20 \n" ); document.write( "
Algebra.Com's Answer #141417 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E2%2Bx-6%29%2F%28x%5E2%2B3x%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B3%29%28x-2%29%29%2F%28x%5E2%2B3x%29\" Factor the numerator\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B3%29%28x-2%29%29%2F%28x%28x%2B3%29%29\" Factor the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28x%2B3%29%29%28x-2%29%29%2F%28x%2Across%28%28x%2B3%29%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-2%29%2Fx\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2%2Bx-6%29%2F%28x%5E2%2B3x%29=%28x-2%29%2Fx\" where \"x%3C%3E0\" or \"x%3C%3E-3\" (these are the restrictions). Note: These restrictions are made to avoid division by zero.\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-25%29%2F%282x%5E2%2B3x-20%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282x%2B5%29%282x-5%29%29%2F%28x%5E2%2B3x%29\" Factor the numerator\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282x%2B5%29%282x-5%29%29%2F%28%28x%2B4%29%282x-5%29%29\" Factor the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282x%2B5%29cross%28%282x-5%29%29%29%2F%28%28x%2B4%29cross%28%282x-5%29%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%2B5%29%2F%28x%2B4%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So \"%284x%5E2-25%29%2F%282x%5E2%2B3x-20%29=%282x%2B5%29%2F%28x%2B4%29\" where \"x%3C%3E-4\" or \"x%3C%3E5%2F2\" (these are the restrictions). Note: These restrictions are made to avoid division by zero.
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