document.write( "Question 145697: Intermediate Algebra: Rational Expressions\r
\n" ); document.write( "\n" ); document.write( "For all r≠ ą 2, r^2 - 5r + 6 / r^2 - 4 = ?\r
\n" ); document.write( "\n" ); document.write( "Can you give me a really detailed explanation of how you get the answer? Thanks! \n" ); document.write( "

Algebra.Com's Answer #106312 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28r-2%29%2A%28r-3%29%29%2F%28r%5E2-4%29\"$ Factor $\"r%5E2-5r%2B6\"$ to get $\"%28r-2%29%2A%28r-3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28r-2%29%2A%28r-3%29%29%2F%28%28r-2%29%2A%28r%2B2%29%29\"$ Factor $\"r%5E2-4\"$ to get $\"%28r-2%29%2A%28r%2B2%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28highlight%28r-2%29%28r-3%29%29%2F%28highlight%28r-2%29%28r%2B2%29%29\"$ Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28cross%28r-2%29%28r-3%29%29%2F%28cross%28r-2%29%28r%2B2%29%29\"$ Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28r-3%29%2F%28r%2B2%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So $\"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29\"$ simplifies to $\"%28r-3%29%2F%28r%2B2%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29=%28r-3%29%2F%28r%2B2%29\"$ where $\"r%3C%3E-2\"$ or $\"r%3C%3E2\"$ \n" ); document.write( "

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