document.write( "Question 82971:
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document.write( "add or subtract and then put in simplest form \r\n" );
document.write( "\"%285a-12%29%2F%28a%5E2-8a%2B15%29\" subtracted from \"%283a-2%29%2F%28a%5E2-8a%2B15%29\"
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Algebra.Com's Answer #59538 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "add or subtract and then put in simplest form \r\n" );
document.write( "\"%285a-12%29%2F%28a%5E2-8a%2B15%29\" subtracted from \"%283a-2%29%2F%28a%5E2-8a%2B15%29\"\r\n" );
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document.write( "One of the chief things here is to correctly interpret the words\r\n" );
document.write( "\"subtracted from\".  Many students interpret this incorrectly.\r\n" );
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document.write( "To get \"3 subtracted from 7\", we START with the 7 and then we subtract\r\n" );
document.write( "3 from it.  We write \"7 - 3\", not \"3 - 7\"!   So in the case of\r\n" );
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document.write( "\"%285a-12%29%2F%28a%5E2-8a%2B15%29\" subtracted from \"%283a-2%29%2F%28a%5E2-8a%2B15%29\"\r\n" );
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document.write( "We start with the \"%283a-2%29%2F%28a%5E2-8a%2B15%29\" and then we subtract\r\n" );
document.write( "\"%285a-12%29%2F%28a%5E2-8a%2B15%29\" from it.\r\n" );
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document.write( "So we begin by writing down the \"%283a-2%29%2F%28a%5E2-8a%2B15%29\" then write a \r\n" );
document.write( "minus sign and then write down \"%285a-12%29%2F%28a%5E2-8a%2B15%29\".\r\n" );
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document.write( "Be sure not to get that backwards!  This is such a common mistake.\r\n" );
document.write( "Think about what you START with, write that down FIRST, and then\r\n" );
document.write( "either add to it or subtract from it as you are told.  So here\r\n" );
document.write( "we have this.\r\n" );
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document.write( "\"%283a-2%29%2F%28a%5E2-8a%2B15%29\" - \"%285a-12%29%2F%28a%5E2-8a%2B15%29\" \r\n" );
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document.write( "Since the denominators are already the same, all we need do is combine \r\n" );
document.write( "the numerators over that same denominator, into just one fraction,\r\n" );
document.write( "using the sign that is between the fractions like this, being sure to\r\n" );
document.write( "place the numerators in parentheses first:\r\n" );
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document.write( "\"%28+%283a-2%29+-+%285a-12%29%29%2F%28a%5E2-8a%2B15%29\"\r\n" );
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document.write( "Then we remove the parentheses in the numerator:\r\n" );
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document.write( "\"%283a-2-5a%2B12%29%2F%28a%5E2-8a%2B15%29\"\r\n" );
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document.write( "Now combine the like terms in the numerator:\r\n" );
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document.write( "\"%28-2a%2B10%29%2F%28a%5E2-8a%2B15%29\"\r\n" );
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document.write( "Now we factor both numerator and denominator,\r\n" );
document.write( "that is, take out -2 in the numerator, and factor the\r\n" );
document.write( "denominator as a trinomial:\r\n" );
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document.write( "\"%28-2%28a-5%29%29%2F%28%28a-5%29%28a-3%29%29\"\r\n" );
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document.write( "Now the \"%28a-5%29\"'s cancel and all that's left is\r\n" );
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document.write( "\"%28-2%29%2F%28%28a-3%29%29\"\r\n" );
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document.write( "or just\r\n" );
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document.write( "\"-2%2F%28a-3%29\"\r\n" );
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document.write( "Edwin
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