Evaluate
-\frac{9}{44}-\frac{3}{22z}
Expand
-\frac{9}{44}-\frac{3}{22z}
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\frac{\frac{2}{27}z+\frac{1}{9}z^{2}}{\frac{37}{81}z^{2}-z^{2}}
Combine \frac{4}{9}z^{2} and \frac{1}{81}z^{2} to get \frac{37}{81}z^{2}.
\frac{\frac{2}{27}z+\frac{1}{9}z^{2}}{-\frac{44}{81}z^{2}}
Combine \frac{37}{81}z^{2} and -z^{2} to get -\frac{44}{81}z^{2}.
\frac{\frac{1}{27}z\left(3z+2\right)}{-\frac{44}{81}z^{2}}
Factor the expressions that are not already factored.
\frac{\frac{1}{27}\left(3z+2\right)}{-\frac{44}{81}z}
Cancel out z in both numerator and denominator.
\frac{\frac{1}{9}z+\frac{2}{27}}{-\frac{44}{81}z}
Expand the expression.
\frac{\frac{2}{27}z+\frac{1}{9}z^{2}}{\frac{37}{81}z^{2}-z^{2}}
Combine \frac{4}{9}z^{2} and \frac{1}{81}z^{2} to get \frac{37}{81}z^{2}.
\frac{\frac{2}{27}z+\frac{1}{9}z^{2}}{-\frac{44}{81}z^{2}}
Combine \frac{37}{81}z^{2} and -z^{2} to get -\frac{44}{81}z^{2}.
\frac{\frac{1}{27}z\left(3z+2\right)}{-\frac{44}{81}z^{2}}
Factor the expressions that are not already factored.
\frac{\frac{1}{27}\left(3z+2\right)}{-\frac{44}{81}z}
Cancel out z in both numerator and denominator.
\frac{\frac{1}{9}z+\frac{2}{27}}{-\frac{44}{81}z}
Expand the expression.
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Limits
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