Evaluate
\frac{1}{\left(a-8\right)^{2}}
Expand
\frac{1}{\left(a-8\right)^{2}}
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\frac{a^{2}+15a+50}{\left(a^{2}-3a-40\right)\left(a^{2}+2a-80\right)}
Express \frac{\frac{a^{2}+15a+50}{a^{2}-3a-40}}{a^{2}+2a-80} as a single fraction.
\frac{\left(a+5\right)\left(a+10\right)}{\left(a+5\right)\left(a+10\right)\left(a-8\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{\left(a-8\right)^{2}}
Cancel out \left(a+5\right)\left(a+10\right) in both numerator and denominator.
\frac{1}{a^{2}-16a+64}
Expand the expression.
\frac{a^{2}+15a+50}{\left(a^{2}-3a-40\right)\left(a^{2}+2a-80\right)}
Express \frac{\frac{a^{2}+15a+50}{a^{2}-3a-40}}{a^{2}+2a-80} as a single fraction.
\frac{\left(a+5\right)\left(a+10\right)}{\left(a+5\right)\left(a+10\right)\left(a-8\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{\left(a-8\right)^{2}}
Cancel out \left(a+5\right)\left(a+10\right) in both numerator and denominator.
\frac{1}{a^{2}-16a+64}
Expand the expression.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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