Solve (a^2/2-a+1)

$$( \frac { a ^ { 2 } } { 2 } - a + 1 )$$

Evaluate

$$\frac{a^{2}}{2}-a+1$$

Short Solution Steps

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

$$\frac{a^{2}}{2}+\frac{2\left(-a+1\right)}{2}$$

Since \frac{a^{2}}{2} and \frac{2\left(-a+1\right)}{2} have the same denominator, add them by adding their numerators.

$$\frac{a^{2}+2\left(-a+1\right)}{2}$$

Do the multiplications in a^{2}+2\left(-a+1\right).

$$\frac{a^{2}-2a+2}{2}$$

Factor

$$\frac{a^{2}-2a+2}{2}$$

Solution Steps

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

$$\frac{a^{2}-2a+2}{2}$$