Solve 2500/20y^2-50/40y^3

$$\frac { 2500 } { 20 } y ^ { 2 } - \frac { 50 } { 40 } y ^ { 3 }$$

Evaluate

$$\frac{5\left(100-y\right)y^{2}}{4}$$

Solution Steps

Divide 2500 by 20 to get 125.

$$125y^{2}-\frac{50}{40}y^{3}$$

Reduce the fraction \frac{50}{40} to lowest terms by extracting and canceling out 10.

$$125y^{2}-\frac{5}{4}y^{3}$$

Factor

$$\frac{5\left(100-y\right)y^{2}}{4}$$

Solution Steps

Factor out \frac{5}{4}.

$$\frac{5\left(100y^{2}-y^{3}\right)}{4}$$

Consider 100y^{2}-y^{3}. Factor out y^{2}.

$$y^{2}\left(100-y\right)$$

Rewrite the complete factored expression.

$$\frac{5y^{2}\left(-y+100\right)}{4}$$