Solve x^2/2-4

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

Evaluate

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

Short Solution Steps

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

$$\frac{x^{2}}{2}-\frac{4\times 2}{2}$$

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

$$\frac{x^{2}-4\times 2}{2}$$

Do the multiplications in x^{2}-4\times 2.

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

Factor

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

Solution Steps

Factor out \frac{1}{2}. Polynomial x^{2}-8 is not factored since it does not have any rational roots.

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