Solve x^2-5/x^2div9/25

$$\frac { x ^ { 2 } - 5 } { x ^ { 2 } } \div \frac { 9 } { 25 }$$

Evaluate

$$\frac{25}{9}-\frac{125}{9x^{2}}$$

Short Solution Steps

Divide \frac{x^{2}-5}{x^{2}} by \frac{9}{25} by multiplying \frac{x^{2}-5}{x^{2}} by the reciprocal of \frac{9}{25}.

$$\frac{\left(x^{2}-5\right)\times 25}{x^{2}\times 9}$$

Use the distributive property to multiply x^{2}-5 by 25.

$$\frac{25x^{2}-125}{x^{2}\times 9}$$

Expand

$$\frac{25}{9}-\frac{125}{9x^{2}}$$

Short Solution Steps

Divide \frac{x^{2}-5}{x^{2}} by \frac{9}{25} by multiplying \frac{x^{2}-5}{x^{2}} by the reciprocal of \frac{9}{25}.

$$\frac{\left(x^{2}-5\right)\times 25}{x^{2}\times 9}$$

Use the distributive property to multiply x^{2}-5 by 25.

$$\frac{25x^{2}-125}{x^{2}\times 9}$$