document.write( "Question 977096: Hello!\r
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\n" ); document.write( "Write the partial fraction decomposition of the rational expression.\r
\n" ); document.write( "\n" ); document.write( "3x-12/(x-3)^2\r
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Algebra.Com's Answer #598605 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283x-12%29%2F%28%28x-3%29%5E2%29+=+A%2F%28x-3%29+%2B+B%2F%28%28x-3%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283x-12%29%2F%28%28x-3%29%5E2%29+=+%28A%28x-3%29+%2B+B%29%2F%28%28x-3%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283x-12%29%2F%28%28x-3%29%5E2%29+=+%28Ax-3A+%2B+B%29%2F%28%28x-3%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x-12+=+Ax-3A+%2B+B\"\r
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\n" ); document.write( "\n" ); document.write( "Notice how 3x matches with Ax. So \"A+=+3\".\r
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\n" ); document.write( "\n" ); document.write( "The \"-12\" matches with \"-3A%2BB\". So,\r
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\n" ); document.write( "\n" ); document.write( "\"-12=-3A%2BB\"\r
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\n" ); document.write( "\n" ); document.write( "\"-12=-3%2A3%2BB\"\r
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\n" ); document.write( "\n" ); document.write( "\"-12=-9%2BB\"\r
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\n" ); document.write( "\n" ); document.write( "\"-12%2B9=B\"\r
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\n" ); document.write( "\n" ); document.write( "\"-3=B\"\r
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\n" ); document.write( "\n" ); document.write( "\"B+=+-3\"\r
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\n" ); document.write( "\n" ); document.write( "Summary:\r
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\n" ); document.write( "\n" ); document.write( "\"A+=+3\", \"B+=+-3\"\r
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\n" ); document.write( "\n" ); document.write( "This means \"%283x-12%29%2F%28%28x-3%29%5E2%29+=+A%2F%28x-3%29+%2B+B%2F%28%28x-3%29%5E2%29\" turns into \"%283x-12%29%2F%28%28x-3%29%5E2%29+=+3%2F%28x-3%29+-+3%2F%28%28x-3%29%5E2%29\"
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