document.write( "Question 327895: Write the partial fraction decomposition of the rational expression.\r
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\n" ); document.write( "\n" ); document.write( " x-6
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\n" ); document.write( "\n" ); document.write( "(x-2)(x-3)
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Algebra.Com's Answer #234925 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"%28x-6%29%2F%28%28x-2%29%28x-3%29%29=A%2F%28x-2%29%2BB%2F%28x-3%29\"
\n" ); document.write( "Multiply both sides by \"%28x-2%29%28x-3%29\"
\n" ); document.write( "\"x-6=A%28x-3%29%2BB%28x-2%29\"
\n" ); document.write( "\"x-6=Ax%2BBx-3A-2B\"
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\n" ); document.write( "1.\"A%2BB=1\"
\n" ); document.write( "2.\"3A%2B2B=6\"
\n" ); document.write( "Multiply eq.1 by -3 and add the equations together to eliminate A.
\n" ); document.write( "\"-3A-3B%2B3A%2B2B=-3%2B6\"
\n" ); document.write( "\"-B=3\"
\n" ); document.write( "\"highlight%28B=-3%29\"
\n" ); document.write( "Then use either equation to solve for A.
\n" ); document.write( "\"A-3=1\"
\n" ); document.write( "\"highlight%28A=4%29\"
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\n" ); document.write( "\"%28x-6%29%2F%28%28x-2%29%28x-3%29%29=4%2F%28x-2%29-3%2F%28x-3%29\"
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