Solve 10y+20/5-frac{20{y^2}}

$$\frac { 10 y + 20 } { 5 - \frac { 20 } { y ^ { 2 } } }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{y^{2}}{y^{2}}.

$$\frac{10y+20}{\frac{5y^{2}}{y^{2}}-\frac{20}{y^{2}}}$$

Since \frac{5y^{2}}{y^{2}} and \frac{20}{y^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10y+20}{\frac{5y^{2}-20}{y^{2}}}$$

Divide 10y+20 by \frac{5y^{2}-20}{y^{2}} by multiplying 10y+20 by the reciprocal of \frac{5y^{2}-20}{y^{2}}.

$$\frac{\left(10y+20\right)y^{2}}{5y^{2}-20}$$

Factor the expressions that are not already factored.

$$\frac{10\left(y+2\right)y^{2}}{5\left(y-2\right)\left(y+2\right)}$$

Cancel out 5\left(y+2\right) in both numerator and denominator.

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

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{y^{2}}{y^{2}}.

$$\frac{10y+20}{\frac{5y^{2}}{y^{2}}-\frac{20}{y^{2}}}$$

Since \frac{5y^{2}}{y^{2}} and \frac{20}{y^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10y+20}{\frac{5y^{2}-20}{y^{2}}}$$

Divide 10y+20 by \frac{5y^{2}-20}{y^{2}} by multiplying 10y+20 by the reciprocal of \frac{5y^{2}-20}{y^{2}}.

$$\frac{\left(10y+20\right)y^{2}}{5y^{2}-20}$$

Factor the expressions that are not already factored.

$$\frac{10\left(y+2\right)y^{2}}{5\left(y-2\right)\left(y+2\right)}$$

Cancel out 5\left(y+2\right) in both numerator and denominator.

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