document.write( "Question 528248: Can you help me with this problem?
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\n" ); document.write( "(2x+1)/(x+3)+(3x)/(x-2)+2x It just says perform the indicated operation. Can you help? \n" ); document.write( "
Algebra.Com's Answer #349197 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%282x%2B1%29%2F%28x%2B3%29\" + \"%283x%29%2F%28x-2%29\" + 2x\r\n" );
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document.write( "Write the term 2x as \"2x%2F1\", so all terms will be fractions:\r\n" );
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document.write( "\"%282x%2B1%29%2F%28x%2B3%29\" + \"%283x%29%2F%28x-2%29\" + \"2x%2F1\"\r\n" );
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document.write( "The LCD is {x+3)(x-2).  We must get all three fractions to have\r\n" );
document.write( "the LCD for the denominator by multiplying by unit fractions.\r\n" );
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document.write( "The denominator of the first fraction needs to be multiplied by \r\n" );
document.write( "(x-2) to become the LCD, so we multiply the first fraction by \r\n" );
document.write( "the unit fraction \"red%28%28x-2%29%2F%28x-2%29%29\"\r\n" );
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document.write( "The denominator of the second fraction needs to be multiplied by \r\n" );
document.write( "(x+3) to become the LCD, so we multiply the second fraction by \r\n" );
document.write( "the unit fraction \"red%28%28x%2B3%29%2F%28x%2B3%29%29\"\r\n" );
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document.write( "The denominator of the third fraction needs to be multiplied by \r\n" );
document.write( "(x+3)(x-2) to become the LCD, so we multiply the first fraction by \r\n" );
document.write( "the unit fraction \"red%28%28%28x%2B3%29%28x-2%29%29%2F%28%28x%2B3%29%28x-2%29%29%29\"\r\n" );
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document.write( "\"red%28%28x-2%29%2F%28x-2%29%29\"·\"%282x%2B1%29%2F%28x%2B3%29\" + \"red%28%28x%2B3%29%2F%28x%2B3%29%29\"·\"%283x%29%2F%28x-2%29\" + \"red%28%28%28x%2B3%29%28x-2%29%29%2F%28%28x%2B3%29%28x-2%29%29%29\"·\"2x%2F1\"\r\n" );
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document.write( "\"%28%28x-2%29%282x%2B1%29%29%2F%28%28x-2%29%28x%2B3%29%29\" + \"%28%28x%2B3%29%283x%29%29%2F%28%28x%2B3%29%28x-2%29%29\" + \"%28%28x%2B3%29%28x-2%29%282x%29%29%2F%28%28x%2B3%29%28x%2B2%29%29\"\r\n" );
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document.write( "Multiply the tops out but not the bottoms:\r\n" );
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document.write( "\"%282x%5E2-3x-2%29%2F%28%28x-2%29%28x%2B3%29%29\" + \"%283x%5E2%2B9x%29%2F%28%28x%2B3%29%28x-2%29%29\" + \"%28%28x%5E2%2Bx-6%29%282x%29%29%2F%28%28x%2B3%29%28x%2B2%29%29\"\r\n" );
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document.write( "\"%282x%5E2-3x-2%29%2F%28%28x-2%29%28x%2B3%29%29\" + \"%283x%5E2%2B9x%29%2F%28%28x%2B3%29%28x-2%29%29\" + \"%282x%5E3%2B2x%5E2-12x%29%2F%28%28x%2B3%29%28x%2B2%29%29\"\r\n" );
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document.write( "Since all the deminators are equal to the LCD, we write the sum of the\r\n" );
document.write( "numerators over the LCD:\r\n" );
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document.write( "Remove the parentheses on top:\r\n" );
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document.write( "\"%282x%5E2-3x-2%2B3x%5E2%2B9x%2B2x%5E3%2B2x%5E2-12x%29%2F%28%28x%2B2%29%28x%2B3%29%29\"\r\n" );
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document.write( "Collect like terms in the top and arrange in descending order:\r\n" );
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document.write( "\"%282x%5E3%2B7x%5E2-6x-2%29%2F%28%28x%2B2%29%28x%2B3%29%29\"\r\n" );
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document.write( "Edwin
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