document.write( "Question 207340This question is from textbook Introductory Algebra
\n" ); document.write( ": Please help me multiply this equation:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%2F%28x%5E2%2B1%29\"$ * $\"%28x%5E4-1%29%2F%28x-1%29%5E2\"$ * $\"%28x%5E2-1%29%2F%28x%5E4-2x%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #156778 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me multiply this equation:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%2F%28x%5E2%2B1%29\"$ * $\"%28x%5E4-1%29%2F%28x-1%29%5E2\"$ * $\"%28x%5E2-1%29%2F%28x%5E4-2x%5E2%2B1%29\"$
\n" ); document.write( "-----------
\n" ); document.write( "Cancel out the 1st (x-1) and the one in the DEN of the 2nd term.
\n" ); document.write( "= $\"1%2F%28x%5E2%2B1%29\"$ * $\"%28x%5E4-1%29%2F%28x-1%29\"$ * $\"%28x%5E2-1%29%2F%28x%5E4-2x%5E2%2B1%29\"$
\n" ); document.write( " $\"x%5E2-1\"$ the NUM in the last term = (x-1)*(x+1). Cancel the (x-1) with the DEN of the middle term.
\n" ); document.write( "= $\"1%2F%28x%5E2%2B1%29\"$ * $\"%28x%5E4-1%29%2F1\"$ * $\"%28x%2B1%29%2F%28x%5E4-2x%5E2%2B1%29\"$
\n" ); document.write( "= $\"%28x%5E4-1%29%2F%28x%5E2%2B1%29\"$ * $\"%28x%2B1%29%2F%28x%5E4-2x%5E2%2B1%29\"$
\n" ); document.write( "= $\"%28x%5E2-1%29%2F1\"$ * $\"%28x%2B1%29%2F%28x%5E4-2x%5E2%2B1%29\"$
\n" ); document.write( "= $\"%28x%5E2-1%29%2F1\"$ * $\"%28x%2B1%29%2F%28x%5E2-1%29%5E2\"$
\n" ); document.write( "= $\"%28x%2B1%29%2F%28x%5E2-1%29\"$
\n" ); document.write( "= $\"%28x%2B1%29%2F%28%28x-1%29%2A%28x%2B1%29%29\"$
\n" ); document.write( "= 1/(x-1) \n" ); document.write( "

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