document.write( "Question 690262: Please help me with the following problem.\r
\n" ); document.write( "\n" ); document.write( "Find the partial function decomposition of x+2/(x+1)(x-1)\r
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Algebra.Com's Answer #426232 by ReadingBoosters(3246)\"\" \"About 
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\"%28x%2B2%29%2F%28%28x%2B1%29%28x-1%29%29+=+A%2F%28x%2B1%29+%2B+B%2F%28x-1%29\"
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\n" ); document.write( "A(x-1) + B(x+1) = (x+2)
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\n" ); document.write( "If x is 1
\n" ); document.write( "A(1-1) + B(1+1) = (1+2)
\n" ); document.write( "2B = 3
\n" ); document.write( "B = 3/2
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\n" ); document.write( "If x is 0
\n" ); document.write( "A(0-1) + (3/2)(0+1) = (0+2)
\n" ); document.write( "-A + (3/2) = 2 ==> multiply by 2 to remove the fraction
\n" ); document.write( "-2A + 3 = 4
\n" ); document.write( "-2A = 4-3
\n" ); document.write( "-2A = 1
\n" ); document.write( "A = -1/2
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