Solve 4y/y^2-81*(y+9)/2y^2

$$\frac { 4 y } { y ^ { 2 } - 81 } \times \frac { ( y + 9 ) } { 2 y ^ { 2 } }$$

Evaluate

$$\frac{2}{y\left(y-9\right)}$$

Short Solution Steps

Multiply \frac{4y}{y^{2}-81} times \frac{y+9}{2y^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4y\left(y+9\right)}{\left(y^{2}-81\right)\times 2y^{2}}$$

Cancel out 2y in both numerator and denominator.

$$\frac{2\left(y+9\right)}{y\left(y^{2}-81\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\left(y+9\right)}{y\left(y-9\right)\left(y+9\right)}$$

Cancel out y+9 in both numerator and denominator.

$$\frac{2}{y\left(y-9\right)}$$

Expand the expression.

$$\frac{2}{y^{2}-9y}$$

Expand

$$\frac{2}{y\left(y-9\right)}$$

Short Solution Steps

Multiply \frac{4y}{y^{2}-81} times \frac{y+9}{2y^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4y\left(y+9\right)}{\left(y^{2}-81\right)\times 2y^{2}}$$

Cancel out 2y in both numerator and denominator.

$$\frac{2\left(y+9\right)}{y\left(y^{2}-81\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\left(y+9\right)}{y\left(y-9\right)\left(y+9\right)}$$

Cancel out y+9 in both numerator and denominator.

$$\frac{2}{y\left(y-9\right)}$$

Expand the expression.

$$\frac{2}{y^{2}-9y}$$