Solve p^2-4/14pq*7q^2/p+2

$$\frac { p ^ { 2 } - 4 } { 14 p q } \times \frac { 7 q ^ { 2 } } { p + 2 }$$

Evaluate

$$\frac{q}{2}-\frac{q}{p}$$

Short Solution Steps

Multiply \frac{p^{2}-4}{14pq} times \frac{7q^{2}}{p+2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(p^{2}-4\right)\times 7q^{2}}{14pq\left(p+2\right)}$$

Cancel out 7q in both numerator and denominator.

$$\frac{q\left(p^{2}-4\right)}{2p\left(p+2\right)}$$

Factor the expressions that are not already factored.

$$\frac{q\left(p-2\right)\left(p+2\right)}{2p\left(p+2\right)}$$

Cancel out p+2 in both numerator and denominator.

$$\frac{q\left(p-2\right)}{2p}$$

Expand the expression.

$$\frac{pq-2q}{2p}$$

Expand

$$\frac{q}{2}-\frac{q}{p}$$

Short Solution Steps

Multiply \frac{p^{2}-4}{14pq} times \frac{7q^{2}}{p+2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(p^{2}-4\right)\times 7q^{2}}{14pq\left(p+2\right)}$$

Cancel out 7q in both numerator and denominator.

$$\frac{q\left(p^{2}-4\right)}{2p\left(p+2\right)}$$

Factor the expressions that are not already factored.

$$\frac{q\left(p-2\right)\left(p+2\right)}{2p\left(p+2\right)}$$

Cancel out p+2 in both numerator and denominator.

$$\frac{q\left(p-2\right)}{2p}$$

Expand the expression.

$$\frac{pq-2q}{2p}$$