document.write( "Question 154561: 4z - 1 / 4z^2 + 23z - 6 \n" ); document.write( "

Algebra.Com's Answer #113807 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"%284z-1%29%2F%284z%5E2%2B23z-6%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%284z-1%29%2F%28%28z%2B6%29%284z-1%29%29\"$ Factor $\"4z%5E2%2B23z-6\"$ to get $\"%28z%2B6%29%284z-1%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28%284z-1%29%29%2F%28%28z%2B6%29highlight%28%284z-1%29%29%29\"$ Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"cross%28%284z-1%29%29%2F%28%28z%2B6%29cross%28%284z-1%29%29%29\"$ Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%29%2F%28z%2B6%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So $\"%284z-1%29%2F%284z%5E2%2B23z-6%29\"$ simplifies to $\"%281%29%2F%28z%2B6%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%284z-1%29%2F%284z%5E2%2B23z-6%29=%281%29%2F%28z%2B6%29\"$ where $\"z%3C%3E-6\"$ or $\"z%3C%3E1%2F4\"$
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