Solve 3-x^2/2

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

Evaluate

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

Short Solution Steps

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

$$\frac{3\times 2}{2}-\frac{x^{2}}{2}$$

Since \frac{3\times 2}{2} and \frac{x^{2}}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 2-x^{2}}{2}$$

Do the multiplications in 3\times 2-x^{2}.

$$\frac{6-x^{2}}{2}$$

Factor

$$\frac{6-x^{2}}{2}$$

Solution Steps

Factor out \frac{1}{2}. Polynomial 6-x^{2} is not factored since it does not have any rational roots.

$$\frac{6-x^{2}}{2}$$