Solve 5/x^2-27/-9

$$\frac { 5 } { x ^ { 2 } } - \frac { 27 } { - 9 }$$

Evaluate

$$3+\frac{5}{x^{2}}$$

Solution Steps

Divide 27 by -9 to get -3.

$$\frac{5}{x^{2}}-\left(-3\right)$$

The opposite of -3 is 3.

$$\frac{5}{x^{2}}+3$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{x^{2}}{x^{2}}.

$$\frac{5}{x^{2}}+\frac{3x^{2}}{x^{2}}$$

Since \frac{5}{x^{2}} and \frac{3x^{2}}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{5+3x^{2}}{x^{2}}$$

Factor

$$\frac{3x^{2}+5}{x^{2}}$$