Solve x/x+2/frac{25{x^2}-4}

$$\frac { \frac { x } { x } + 2 } { \frac { 25 } { x ^ { 2 } } - 4 }$$

Evaluate

$$-\frac{3x^{2}}{4x^{2}-25}$$

Short Solution Steps

Divide x by x to get 1.

$$\frac{1+2}{\frac{25}{x^{2}}-4}$$

Add 1 and 2 to get 3.

$$\frac{3}{\frac{25}{x^{2}}-4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x^{2}}{x^{2}}.

$$\frac{3}{\frac{25}{x^{2}}-\frac{4x^{2}}{x^{2}}}$$

Since \frac{25}{x^{2}} and \frac{4x^{2}}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{25-4x^{2}}{x^{2}}}$$

Divide 3 by \frac{25-4x^{2}}{x^{2}} by multiplying 3 by the reciprocal of \frac{25-4x^{2}}{x^{2}}.

$$\frac{3x^{2}}{25-4x^{2}}$$

Expand

$$\frac{3x^{2}}{25-4x^{2}}$$

Short Solution Steps

Divide x by x to get 1.

$$\frac{1+2}{\frac{25}{x^{2}}-4}$$

Add 1 and 2 to get 3.

$$\frac{3}{\frac{25}{x^{2}}-4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x^{2}}{x^{2}}.

$$\frac{3}{\frac{25}{x^{2}}-\frac{4x^{2}}{x^{2}}}$$

Since \frac{25}{x^{2}} and \frac{4x^{2}}{x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{25-4x^{2}}{x^{2}}}$$

Divide 3 by \frac{25-4x^{2}}{x^{2}} by multiplying 3 by the reciprocal of \frac{25-4x^{2}}{x^{2}}.

$$\frac{3x^{2}}{25-4x^{2}}$$