Solve 10x^2/y^2div2x/5y

$$\frac { 10 x ^ { 2 } } { y ^ { 2 } } \div \frac { 2 x } { 5 y }$$

Evaluate

$$\frac{25x}{y}$$

Solution Steps

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

$$\frac{10x^{2}\times 5y}{y^{2}\times 2x}$$

Cancel out 2xy in both numerator and denominator.

$$\frac{5\times 5x}{y}$$

Multiply 5 and 5 to get 25.

$$\frac{25x}{y}$$

Differentiate w.r.t. x

$$\frac{25}{y}$$