document.write( "Question 146498: z^2-7z+10/z^2+4z-45 \n" ); document.write( "

Algebra.Com's Answer #106964 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( " $\"%28z%5E2-7z%2B10%29%2F%28z%5E2%2B4z-45%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28z-2%29%2A%28z-5%29%29%2F%28z%5E2%2B4z-45%29\"$ Factor $\"z%5E2-7z%2B10\"$ to get $\"%28z-2%29%2A%28z-5%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28z-2%29%2A%28z-5%29%29%2F%28%28z%2B9%29%2A%28z-5%29%29\"$ Factor $\"z%5E2%2B4z-45\"$ to get $\"%28z%2B9%29%2A%28z-5%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28z-2%29highlight%28z-5%29%29%2F%28%28z%2B9%29highlight%28z-5%29%29\"$ Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28z-2%29cross%28z-5%29%29%2F%28%28z%2B9%29cross%28z-5%29%29\"$ Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28z-2%29%29%2F%28%28z%2B9%29%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So $\"%28z%5E2-7z%2B10%29%2F%28z%5E2%2B4z-45%29\"$ simplifies to $\"%28z-2%29%2F%28z%2B9%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%28z%5E2-7z%2B10%29%2F%28z%5E2%2B4z-45%29=%28z-2%29%2F%28z%2B9%29\"$ where $\"z%3C%3E-9\"$ or $\"z%3C%3E5\"$
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