Evaluate
-\frac{12a}{a-2}
Expand
-\frac{12a}{a-2}
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\frac{\left(2a^{2}+2a\right)\left(6-12a\right)}{\left(2a-1\right)\left(a^{2}-a-2\right)}
Multiply \frac{2a^{2}+2a}{2a-1} times \frac{6-12a}{a^{2}-a-2} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 6a\left(a+1\right)\left(-2a+1\right)}{\left(a-2\right)\left(2a-1\right)\left(a+1\right)}
Factor the expressions that are not already factored.
\frac{-2\times 6a\left(2a-1\right)\left(a+1\right)}{\left(a-2\right)\left(2a-1\right)\left(a+1\right)}
Extract the negative sign in 1-2a.
\frac{-2\times 6a}{a-2}
Cancel out \left(2a-1\right)\left(a+1\right) in both numerator and denominator.
\frac{-12a}{a-2}
Expand the expression.
\frac{\left(2a^{2}+2a\right)\left(6-12a\right)}{\left(2a-1\right)\left(a^{2}-a-2\right)}
Multiply \frac{2a^{2}+2a}{2a-1} times \frac{6-12a}{a^{2}-a-2} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 6a\left(a+1\right)\left(-2a+1\right)}{\left(a-2\right)\left(2a-1\right)\left(a+1\right)}
Factor the expressions that are not already factored.
\frac{-2\times 6a\left(2a-1\right)\left(a+1\right)}{\left(a-2\right)\left(2a-1\right)\left(a+1\right)}
Extract the negative sign in 1-2a.
\frac{-2\times 6a}{a-2}
Cancel out \left(2a-1\right)\left(a+1\right) in both numerator and denominator.
\frac{-12a}{a-2}
Expand the expression.
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Limits
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