Solve 1+8(1/2x^2)

$$1+8( \frac{ 1 }{ 2 { x }^{ 2 } } )$$

Evaluate

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

Short Solution Steps

Express 8\times \frac{1}{2x^{2}} as a single fraction.

$$1+\frac{8}{2x^{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2x^{2}}{2x^{2}}.

$$\frac{2x^{2}}{2x^{2}}+\frac{8}{2x^{2}}$$

Since \frac{2x^{2}}{2x^{2}} and \frac{8}{2x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{2x^{2}+8}{2x^{2}}$$

Factor the expressions that are not already factored in \frac{2x^{2}+8}{2x^{2}}.

$$\frac{2\left(x^{2}+4\right)}{2x^{2}}$$

Cancel out 2 in both numerator and denominator.

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

Factor

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