document.write( "Question 935798: Write the partial fraction decomposition of the rational expression
\n" ); document.write( "X+1/(x-2)^2(x+4) \n" ); document.write( "

Algebra.Com's Answer #569267 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( " $\"x%2B1=A%28x-2%29%28x%2B4%29%2BB%28x%2B4%29%2BC%28x-2%29%5E2\"$
\n" ); document.write( " $\"x%2B1=A%28x%5E2%2B2x-8%29%2BB%28x%2B4%29%2BC%28x%5E2-4x%2B4%29\"$
\n" ); document.write( " $\"x%2B1=%28A%2BC%29x%5E2%2B%282A%2BB-4C%29x%2B%28-8A%2B4B%2B4C%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"A%2BC=0\"$
\n" ); document.write( " $\"A=-C\"$
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\n" ); document.write( " $\"2A%2BB-4C=1\"$
\n" ); document.write( " $\"2%28-C%29%2BB-4C=1\"$
\n" ); document.write( "1. $\"B-6C=1\"$
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\n" ); document.write( " $\"-8A%2B4B%2B4C=1\"$
\n" ); document.write( " $\"-8%28-C%29%2B4B%2B4C=1\"$
\n" ); document.write( "2. $\"4B%2B12C=1\"$
\n" ); document.write( "Multiply eq. 1 by 2 and add to eq. 2,
\n" ); document.write( " $\"2B-12C%2B4B%2B12C=2%2B1\"$
\n" ); document.write( " $\"6B=3\"$
\n" ); document.write( " $\"B=1%2F2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"1%2F2-6C=1\"$
\n" ); document.write( " $\"-6C=1%2F2\"$
\n" ); document.write( " $\"C=-1%2F12\"$
\n" ); document.write( " $\"A=1%2F12\"$
\n" ); document.write( "So then,
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