document.write( "Question 242318: Find the partial fraction decomposition of\r
\n" ); document.write( "\n" ); document.write( "(26x^2+208x)/(x^2+1)(x+5) \n" ); document.write( "

Algebra.Com's Answer #177443 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( " $\"+26x%5E2%2B208x=A%28x%5E2%2B1%29%2BB%28x%2B5%29%2BCx%28x%2B5%29\"$
\n" ); document.write( " $\"+26x%5E2%2B208x=Ax%5E2%2BA%2BBx%2B5B%2BCx%5E2%2B5Cx\"$
\n" ); document.write( " $\"+26x%5E2%2B208x=%28A%2BC%29x%5E2%2B%28B%2B5C%29x%2B%285B%2BC%29\"$
\n" ); document.write( "Comparing terms,
\n" ); document.write( "1) $\"+A%2BC=26\"$
\n" ); document.write( "2) $\"+A%2B5B=0\"$
\n" ); document.write( "3) $\"+B%2B5C=208\"$
\n" ); document.write( "From 1),
\n" ); document.write( " $\"+A=26-C\"$
\n" ); document.write( "Substitute into 2),
\n" ); document.write( " $\"+26-C%2B5B=0\"$
\n" ); document.write( " $\"+5B-C=-26\"$
\n" ); document.write( " $\"+25B-5C=-130\"$
\n" ); document.write( "Add this to 3)
\n" ); document.write( " $\"+B%2B5C%2B25B-5C=-130%2B208\"$
\n" ); document.write( " $\"+26B=78\"$
\n" ); document.write( " $\"+B=3\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"+A%2B5B=0\"$
\n" ); document.write( " $\"+A=-5B=-15\"$
\n" ); document.write( "and finally,
\n" ); document.write( " $\"+A%2BC=26\"$
\n" ); document.write( " $\"+A=41\"$
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