document.write( "Question 734748: 1) (2x+12)/(3x-15)/(2x^(2)-6x-20)/(x^(2)-10x+25)\r
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\n" ); document.write( "\n" ); document.write( "2) (3x)/(x^2+3x-10)-(2x)/(x^2+x-6)\r
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\n" ); document.write( "\n" ); document.write( "3) (2x-10)/(2x^2-5x-3)+(1)/(x-3)=3/(x-3) \n" ); document.write( "
Algebra.Com's Answer #449108 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Write as a division of fractions:\r\n" );
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document.write( "2x+12 factors as 2(x+6)\r\n" );
document.write( "3x-15 factors as 3(x-5)\r\n" );
document.write( "2x²-6x-20 factors as 2(x²-3x-10) or as 2(x-5)(x+2)\r\n" );
document.write( "x²-10x+25 factors as (x-5)(x-5)\r\n" );
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document.write( "Invert the second franction and change division to multiplication\r\n" );
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document.write( "Cancel the 2's\r\n" );
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document.write( "Cancel one pair of (x-5)'s\r\n" );
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document.write( "Cancel the other pair of (x-5)'s\r\n" );
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document.write( "       \"%28x%2B6%29%2F3\"\"%22%22%2A%22%22\"\"%28cross%28x-5%29%29%2F%28%28cross%28x-5%29%29%28x%2B2%29%29\"\r\n" );
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document.write( "       \"%28x%2B6%29%2F%283%28x%2B2%29%29\"\r\n" );
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document.write( "---------------------------------------------------\r\n" );
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document.write( "         \"%283x%29%2F%28x%5E2%2B3x-10%29\"\"%22%22-%22%22\"\"%282x%29%2F%28x%5E2%2Bx-6%29\"\r\n" );
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document.write( "Get LCD of (x+5)(x-2)(x+3)\r\n" );
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document.write( "         \"%283x%5E2%2B9x%29%2F%28x%2B5%29%28x-2%29%28x%2B3%29%29\"\"%22%22-%22%22\"\"%282x%5E2%2B10x%29%2F%28%28x%2B3%29%28x-2%29%28x%2B5%29%29\"\r\n" );
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document.write( "The denominators are equal, so we combine the numerators over the LCD\r\n" );
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document.write( "--------------------------------------------------- \r\n" );
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document.write( "          \"%282x-10%29%2F%282x%5E2-5x-3%29\"\"%22%22%2B%22%22\"\"1%2F%28x-3%29\"\"%22%22=%22%22\"\"3%2F%28x-3%29\"\r\n" );
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document.write( "          \"%282x-10%29%2F%28%28x-3%29%282x%2B1%29%29\"\"%22%22%2B%22%22\"\"1%2F%28x-3%29\"\"%22%22=%22%22\"\"3%2F%28x-3%29\"\r\n" );
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document.write( "Multiply through by the LCD of (x-3)(2x+1)  \r\n" );
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document.write( "          2x-10 + 1(2x+1) = 3(2x+1)\r\n" );
document.write( "         2x - 10 + 2x + 1 = 6x + 3\r\n" );
document.write( "                   4x - 9 = 6x + 3\r\n" );
document.write( "                      -2x = 12\r\n" );
document.write( "                        x = -6                        \r\n" );
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document.write( "Edwin
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