Solve 8n^2/m^2-16*m^2-4m/6n

$$\frac { 8 n ^ { 2 } } { m ^ { 2 } - 16 } \times \frac { m ^ { 2 } - 4 m } { 6 n }$$

Evaluate

$$\frac{4mn}{3\left(m+4\right)}$$

Short Solution Steps

Multiply \frac{8n^{2}}{m^{2}-16} times \frac{m^{2}-4m}{6n} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8n^{2}\left(m^{2}-4m\right)}{\left(m^{2}-16\right)\times 6n}$$

Cancel out 2n in both numerator and denominator.

$$\frac{4n\left(m^{2}-4m\right)}{3\left(m^{2}-16\right)}$$

Factor the expressions that are not already factored.

$$\frac{4mn\left(m-4\right)}{3\left(m-4\right)\left(m+4\right)}$$

Cancel out m-4 in both numerator and denominator.

$$\frac{4mn}{3\left(m+4\right)}$$

Expand the expression.

$$\frac{4mn}{3m+12}$$

Expand

$$\frac{4mn}{3\left(m+4\right)}$$

Short Solution Steps

Multiply \frac{8n^{2}}{m^{2}-16} times \frac{m^{2}-4m}{6n} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8n^{2}\left(m^{2}-4m\right)}{\left(m^{2}-16\right)\times 6n}$$

Cancel out 2n in both numerator and denominator.

$$\frac{4n\left(m^{2}-4m\right)}{3\left(m^{2}-16\right)}$$

Factor the expressions that are not already factored.

$$\frac{4mn\left(m-4\right)}{3\left(m-4\right)\left(m+4\right)}$$

Cancel out m-4 in both numerator and denominator.

$$\frac{4mn}{3\left(m+4\right)}$$

Expand the expression.

$$\frac{4mn}{3m+12}$$