Evaluate
\frac{a\left(b-7\right)}{2}
Expand
\frac{ab-7a}{2}
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\frac{\left(b^{2}-49\right)\left(a^{2}+ac\right)}{\left(a+c\right)\left(2b+14\right)}
Divide \frac{b^{2}-49}{a+c} by \frac{2b+14}{a^{2}+ac} by multiplying \frac{b^{2}-49}{a+c} by the reciprocal of \frac{2b+14}{a^{2}+ac}.
\frac{a\left(b-7\right)\left(b+7\right)\left(a+c\right)}{2\left(b+7\right)\left(a+c\right)}
Factor the expressions that are not already factored.
\frac{a\left(b-7\right)}{2}
Cancel out \left(b+7\right)\left(a+c\right) in both numerator and denominator.
\frac{ab-7a}{2}
Expand the expression.
\frac{\left(b^{2}-49\right)\left(a^{2}+ac\right)}{\left(a+c\right)\left(2b+14\right)}
Divide \frac{b^{2}-49}{a+c} by \frac{2b+14}{a^{2}+ac} by multiplying \frac{b^{2}-49}{a+c} by the reciprocal of \frac{2b+14}{a^{2}+ac}.
\frac{a\left(b-7\right)\left(b+7\right)\left(a+c\right)}{2\left(b+7\right)\left(a+c\right)}
Factor the expressions that are not already factored.
\frac{a\left(b-7\right)}{2}
Cancel out \left(b+7\right)\left(a+c\right) in both numerator and denominator.
\frac{ab-7a}{2}
Expand the expression.
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