Solve 6r+3s/4r-2s*6rs/4r^2-s^2=

$$\frac { 6 r + 3 s } { 4 r - 2 s } \cdot \frac { 6 r s } { 4 r ^ { 2 } - s ^ { 2 } } =$$

Evaluate

$$\frac{9rs}{\left(2r-s\right)^{2}}$$

Short Solution Steps

Multiply \frac{6r+3s}{4r-2s} times \frac{6rs}{4r^{2}-s^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(6r+3s\right)\times 6rs}{\left(4r-2s\right)\left(4r^{2}-s^{2}\right)}$$

Factor the expressions that are not already factored.

$$\frac{3\times 6rs\left(2r+s\right)}{2\left(2r+s\right)\left(2r-s\right)^{2}}$$

Cancel out 2\left(2r+s\right) in both numerator and denominator.

$$\frac{3\times 3rs}{\left(2r-s\right)^{2}}$$

Expand the expression.

$$\frac{9rs}{4r^{2}-4rs+s^{2}}$$

Expand

$$\frac{9rs}{\left(2r-s\right)^{2}}$$

Short Solution Steps

Multiply \frac{6r+3s}{4r-2s} times \frac{6rs}{4r^{2}-s^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(6r+3s\right)\times 6rs}{\left(4r-2s\right)\left(4r^{2}-s^{2}\right)}$$

Factor the expressions that are not already factored.

$$\frac{3\times 6rs\left(2r+s\right)}{2\left(2r+s\right)\left(2r-s\right)^{2}}$$

Cancel out 2\left(2r+s\right) in both numerator and denominator.

$$\frac{3\times 3rs}{\left(2r-s\right)^{2}}$$

Expand the expression.

$$\frac{9rs}{4r^{2}-4rs+s^{2}}$$