document.write( "Question 718276: What is the quotient in simplest form? State any restrictions on the variable.\r
\n" ); document.write( "\n" ); document.write( " (z^2-4/z-3/(z+2/z^2+z-12) \n" ); document.write( "

Algebra.Com's Answer #440858 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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What is the quotient in simplest form? State any restrictions on the variable.
\n" ); document.write( " $\"%28z%5E2-4%29%2F%28z-3%29\"$
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\n" ); document.write( " $\"%28z%2B2%29%2F%28z%5E2%2Bz-12%29\"$
\n" ); document.write( "invert the dividing fraction and multiply
\n" ); document.write( " $\"%28z%5E2-4%29%2F%28z-3%29\"$ * $\"%28z%5E2%2Bz-12%29%2F%28s%2B2%29\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"%28%28z-2%29%28z%2B2%29%29%2F%28z-3%29\"$ * $\"%28%28z%2B4%29%28z-3%29%29%2F%28z%2B2%29\"$
\n" ); document.write( "Cancel z+2 and (z-3), FOIL
\n" ); document.write( "(z-2) * (z+4) = (z^2 +4z - 2z - 8) = z^2 + 2z - 8
\n" ); document.write( ":
\n" ); document.write( "To avoid division by 0, z cannot = 3 or -4
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