Solve 4/y^2--2y

$$\frac { 4 } { y ^ { 2 } } - - 2 y$$

Evaluate

$$2y+\frac{4}{y^{2}}$$

Short Solution Steps

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

$$\frac{4}{y^{2}}-\frac{-2yy^{2}}{y^{2}}$$

Since \frac{4}{y^{2}} and \frac{-2yy^{2}}{y^{2}} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 4-\left(-2yy^{2}\right).

$$\frac{4+2y^{3}}{y^{2}}$$

Factor

$$\frac{2\left(y^{3}+2\right)}{y^{2}}$$