Solve +1/4a^2-2a

$$+ \frac { 1 } { 4 a ^ { 2 } } - 2 a$$

Evaluate

$$-2a+\frac{1}{4a^{2}}$$

Short Solution Steps

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

$$\frac{1}{4a^{2}}+\frac{-2a\times 4a^{2}}{4a^{2}}$$

Since \frac{1}{4a^{2}} and \frac{-2a\times 4a^{2}}{4a^{2}} have the same denominator, add them by adding their numerators.

$$\frac{1-2a\times 4a^{2}}{4a^{2}}$$

Do the multiplications in 1-2a\times 4a^{2}.

$$\frac{1-8a^{3}}{4a^{2}}$$

Factor

$$\frac{\left(2a-1\right)\left(-4a^{2}-2a-1\right)}{4a^{2}}$$