document.write( "Question 854555: Resolve the following improper fraction into partial fractions:
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Algebra.Com's Answer #514762 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You must include a term with a denominator\r\n" );
document.write( "which is a lower power of a denominator.\r\n" );
document.write( "So since (x-3)² is to the 2nd power, you must\r\n" );
document.write( "include a term with the lower power (x-3) in\r\n" );
document.write( "the denominator.\r\n" );
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document.write( "\"3x%2F%28x-3%29%5E2\"\"%22%22=%22%22\"\"A%2F%28x-3%29%5E2%2BB%2F%28x-3%29\"\r\n" );
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document.write( "Notice also that even though (x-3)² is degree 2 if\r\n" );
document.write( "multiplied out, we do not need \"Ax+B\" for its \r\n" );
document.write( "numerator because it is factored as the power of  \r\n" );
document.write( "only a first degree binomial.\r\n" );
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document.write( "Clear of fractions:\r\n" );
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document.write( "\"3x\"\"%22%22=%22%22\"\"A%2BB%28x-3%29\"\r\n" );
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document.write( "\"3x\"\"%22%22=%22%22\"\"A%2BBx-3B\"\r\n" );
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document.write( "Since the sides must be identical, we can\r\n" );
document.write( "equate the like terms on both sides:\r\n" );
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document.write( "\"3x\"\"%22%22=%22%22\"\"Bx\"\r\n" );
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document.write( "So B = 3\r\n" );
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document.write( "There are no constant terms on the left, so put 0\r\n" );
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document.write( "\"%220%22\"\"%22%22=%22%22\"\"A-3B\"\r\n" );
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document.write( "Substitute 3 for B\r\n" );
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document.write( "\"%220%22\"\"%22%22=%22%22\"\"A-3%283%29\"\r\n" );
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document.write( "\"%220%22\"\"%22%22=%22%22\"\"A-9\"\r\n" );
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document.write( "\"9\"\"%22%22=%22%22\"\"A\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"3x%2F%28x-3%29%5E2\"\"%22%22=%22%22\"\"A%2F%28x-3%29%5E2%2BB%2F%28x-3%29\"\r\n" );
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document.write( "becomes\r\n" );
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document.write( "\"3x%2F%28x-3%29%5E2\"\"%22%22=%22%22\"\"9%2F%28x-3%29%5E2%2B3%2F%28x-3%29\"\r\n" );
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document.write( "Edwin
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