Solve 6y^2/(y-8)^2*(y-8)^2/9y

$$\frac { 6 y ^ { 2 } } { ( y - 8 ) ^ { 2 } } \times \frac { ( y - 8 ) ^ { 2 } } { 9 y }$$

Evaluate

$$\frac{2y}{3}$$

Solution Steps

Multiply \frac{6y^{2}}{\left(y-8\right)^{2}} times \frac{\left(y-8\right)^{2}}{9y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6y^{2}\left(y-8\right)^{2}}{\left(y-8\right)^{2}\times 9y}$$

Cancel out 3y\left(y-8\right)^{2} in both numerator and denominator.

$$\frac{2y}{3}$$

Expand

$$\frac{2y}{3}$$

Solution Steps

Multiply \frac{6y^{2}}{\left(y-8\right)^{2}} times \frac{\left(y-8\right)^{2}}{9y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6y^{2}\left(y-8\right)^{2}}{\left(y-8\right)^{2}\times 9y}$$

Cancel out 3y\left(y-8\right)^{2} in both numerator and denominator.

$$\frac{2y}{3}$$