document.write( "Question 332064: Simplify by removing factors of 1\r
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Algebra.Com's Answer #238004 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"%28n%5E2-1%29%2F%28n%2B1%29%5E2\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28n%2B1%29%28n-1%29%29%2F%28n%2B1%29%5E2\"$ Factor the numerator.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28n%2B1%29%28n-1%29%29%2F%28%28n%2B1%29%28n%2B1%29%29\"$ Expand the denominator.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28highlight%28%28n%2B1%29%29%28n-1%29%29%2F%28highlight%28%28n%2B1%29%29%28n%2B1%29%29\"$ Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28cross%28%28n%2B1%29%29%28n-1%29%29%2F%28cross%28%28n%2B1%29%29%28n%2B1%29%29\"$ Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28n-1%29%2F%28n%2B1%29\"$ Simplify\r
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\n" ); document.write( "\n" ); document.write( "So $\"%28n%5E2-1%29%2F%28n%2B1%29%5E2\"$ simplifies to $\"%28n-1%29%2F%28n%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%28n%5E2-1%29%2F%28n%2B1%29%5E2=%28n-1%29%2F%28n%2B1%29\"$ where $\"n%3C%3E-1\"$ \n" ); document.write( "

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