document.write( "Question 1017815: Hi, I'm confused as to how to get to the answer (I already have the answer but I don't understand the solution) of this equation:
\n" ); document.write( "4/(a^2-a-2) + 3/(a^2-4) = (7a+11)/(a-2)(a+2)(a+1)
\n" ); document.write( "How did the ending answer have three bracket multiplications in the denominator?\r
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Algebra.Com's Answer #634029 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"4%2F%28a%5E2-a-2%29+\"\"%22%22%2B%22%22\"\"+3%2F%28a%5E2-4%29\"\r\n" );
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document.write( "Factor the denominators:\r\n" );
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document.write( "\"4%2F%28%28a%2B1%29%28a-2%29%29+\"\"%22%22%2B%22%22\"\"+3%2F%28%28a-2%29%28a%2B2%29%29\"\r\n" );
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document.write( "The LCD is \"%28a%2B1%29%28a-2%29%28a%2B2%29\"\r\n" );
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document.write( "The denominator in the first term needs the\r\n" );
document.write( "factor (a+2) in order to equal the LCD, so\r\n" );
document.write( "we multiply the first term by \"red%28%28%28a%2B2%29%29%2F%28%28a%2B2%29%29%29\"\r\n" );
document.write( "which equals 1 and therefore will not change\r\n" );
document.write( "the value when we multiply the first term by it.\r\n" );
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document.write( "The denominator in the second term needs the\r\n" );
document.write( "factor (a+1) in order to equal the LCD, so\r\n" );
document.write( "we multiply the second term by \"red%28%28%28a%2B1%29%29%2F%28%28a%2B1%29%29%29\"\r\n" );
document.write( "which equals 1 and therefore will not change\r\n" );
document.write( "the value when we multiply the second term by it.\r\n" );
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document.write( "\"%22%22%2B%22%22\"\r\n" );
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document.write( "Rewrite each multiplication of fractions as single fractions:\r\n" );
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document.write( "\"%284red%28%28a%2B2%29%29%29%2F%28%28a%2B1%29%28a-2%29red%28%28a%2B2%29%29%29+\"\"%22%22%2B%22%22\"\"+%283red%28%28a%2B1%29%29%29%2F%28%28a-2%29%28a%2B2%29red%28%28a%2B1%29%29%29\"\r\n" );
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document.write( "Distribute to remove the parentheses in the numerators, but\r\n" );
document.write( "do not multiply the denominators out.\r\n" );
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document.write( "\"%284a%2B8%29%2F%28%28a%2B1%29%28a-2%29%28a%2B2%29%29+\"\"%22%22%2B%22%22\"\"+%283a%2B3%29%2F%28%28a-2%29%28a%2B2%29%28a%2B1%29%29\"\r\n" );
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document.write( "Notice that the denominators of both terms are the same except\r\n" );
document.write( "for the order of factors, so we will add the terms of the numerator\r\n" );
document.write( "and have just one fraction term.  We will choose the second\r\n" );
document.write( "denominator, since that's the order of factors that you have in\r\n" );
document.write( "your answer:\r\n" );
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document.write( "\"%284a%2B8%2B3a%2B3%29%2F%28%28a-2%29%28a%2B2%29%28a%2B1%29%29\"\r\n" );
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document.write( "Combine like terms in the numerator:\r\n" );
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document.write( "\"%287a%2B11%29%2F%28%28a-2%29%28a%2B2%29%28a%2B1%29%29\"\r\n" );
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document.write( "Edwin
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