Evaluate
\frac{2\left(v-1\right)}{3}
Expand
\frac{2v-2}{3}
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\frac{\left(v^{2}+v-2\right)\left(2v+2\right)}{\left(v+1\right)\left(3v+6\right)}
Divide \frac{v^{2}+v-2}{v+1} by \frac{3v+6}{2v+2} by multiplying \frac{v^{2}+v-2}{v+1} by the reciprocal of \frac{3v+6}{2v+2}.
\frac{2\left(v-1\right)\left(v+1\right)\left(v+2\right)}{3\left(v+1\right)\left(v+2\right)}
Factor the expressions that are not already factored.
\frac{2\left(v-1\right)}{3}
Cancel out \left(v+1\right)\left(v+2\right) in both numerator and denominator.
\frac{2v-2}{3}
Expand the expression.
\frac{\left(v^{2}+v-2\right)\left(2v+2\right)}{\left(v+1\right)\left(3v+6\right)}
Divide \frac{v^{2}+v-2}{v+1} by \frac{3v+6}{2v+2} by multiplying \frac{v^{2}+v-2}{v+1} by the reciprocal of \frac{3v+6}{2v+2}.
\frac{2\left(v-1\right)\left(v+1\right)\left(v+2\right)}{3\left(v+1\right)\left(v+2\right)}
Factor the expressions that are not already factored.
\frac{2\left(v-1\right)}{3}
Cancel out \left(v+1\right)\left(v+2\right) in both numerator and denominator.
\frac{2v-2}{3}
Expand the expression.
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Limits
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