document.write( "Question 1189207: Simplify:\r
\n" ); document.write( "\n" ); document.write( "((x-2)/(x+5)) - ((x^2-2x-3)/(x^2-x-6)) x ((x^2+2x)/(x^2-4x)) \n" ); document.write( "
Algebra.Com's Answer #820512 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28%28x%5E%22%22+-+2%29%2F%28x%5E%22%22+%2B+5%29%29\"\"%22%22-%22%22\"\r\n" );
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document.write( "Factor all the fractions on the right:\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\r\n" );
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document.write( "Cancel the (x-3)'s\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%2F%28x%2B2%29%29%2A%28%28x%28x%2B2%29%29%2F%28x%28x-4%29%29%29\"\r\n" );
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document.write( "Cancel the x's\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%2F%28x%2B2%29%29%2A%28%28x%2B2%29%2F%28x-4%29%29\"\r\n" );
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document.write( "Cancel the (x+2)'s\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%2F%28cross%28x%2B2%29%29%29%2A%28%28cross%28x%2B2%29%29%2F%28x-4%29%29\"\r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%2F%28x-4%29%29\"\r\n" );
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document.write( "The LCD is (x+5)(x-4), so multiply the fraction on the left \r\n" );
document.write( "by \"%28%28x-4%29%2F%28x-4%29%29\", which just equals 1.  Also, multiply \r\n" );
document.write( "the fraction on the right by \"%28%28x-5%29%2F%28x-5%29%29\", which also \r\n" );
document.write( "just equals 1: \r\n" );
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document.write( "\"%28%28x+-+2%29%2F%28x+%2B+5%29%29%28%28x-4%29%2F%28x-4%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%2F%28x-4%29%29%28%28x%2B5%29%2F%28x%2B5%29%29\"\r\n" );
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document.write( "Indicate the multiplication of numerators and of denominators \r\n" );
document.write( "in both terms:\r\n" );
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document.write( "\"%28%28x+-+2%29%28x+-+4%29%29%2F%28%28x%2B5%29%28x-4%29%29\"\"%22%22-%22%22\"\"%28%28x%2B1%29%28x%2B5%29%29%2F%28%28x-4%29%28x%2B5%29%29\"\r\n" );
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document.write( "Use \"FOIL\" to multiply the numerators ONLY, but leave the \r\n" );
document.write( "denominators factored:\r\n" );
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document.write( "\"%28%28x%5E2+-+6x+%2B8%29%29%2F%28%28x%5E%22%22%2B5%29%28x%5E%22%22-4%29%29\"\"%22%22-%22%22\"\"%28%28x%5E2%2B6x%2B5%29%29%2F%28%28x%5E%22%22-4%29%28x%5E%22%22%2B5%29%29\"\r\n" );
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document.write( "The denominators are the same, so we subtract the numerators \r\n" );
document.write( "and place them over the common denominator:\r\n" );
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document.write( "Remove the parentheses, being careful to change the\r\n" );
document.write( "signs in the second parenthetical expression since \r\n" );
document.write( "it is preceded by a - sign:\r\n" );
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document.write( "\"%28x%5E2+-+6x+%2B8-x%5E2-6x-5%29%2F%28%28x%5E%22%22%2B5%29%28x%5E%22%22-4%29%29\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"%28-12x+%2B3%29%2F%28%28x%2B5%29%28x-4%29%29\"\r\n" );
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document.write( "We take common factor -3 out of the numerator:\r\n" );
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document.write( "\"%28-3%284x-1%29%29%2F%28%28x%2B5%29%28x-4%29%29\"\r\n" );
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document.write( "Edwin
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