Solve (1/y)-y^2

$$( \frac{ 1 }{ y } )- { y }^{ 2 }$$

Evaluate

$$-y^{2}+\frac{1}{y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply y^{2} times \frac{y}{y}.

$$\frac{1}{y}-\frac{y^{2}y}{y}$$

Since \frac{1}{y} and \frac{y^{2}y}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-y^{2}y}{y}$$

Do the multiplications in 1-y^{2}y.

$$\frac{1-y^{3}}{y}$$

Factor

$$\frac{\left(y-1\right)\left(-y^{2}-y-1\right)}{y}$$