Solve =frac{sqrt{3}}{2}-(1/2)^2-2*frac{sqrt{3}}{2}*1/2

$$= \frac { \sqrt { 3 } } { 2 } - ( \frac { 1 } { 2 } ) ^ { 2 } - 2 \times \frac { \sqrt { 3 } } { 2 } \cdot \frac { 1 } { 2 }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Short Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{\sqrt{3}}{2}-\frac{1}{4}-2\times \frac{\sqrt{3}}{2}\times \frac{1}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4 is 4. Multiply \frac{\sqrt{3}}{2} times \frac{2}{2}.

$$\frac{2\sqrt{3}}{4}-\frac{1}{4}-2\times \frac{\sqrt{3}}{2}\times \frac{1}{2}$$

Since \frac{2\sqrt{3}}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\sqrt{3}-1}{4}-2\times \frac{\sqrt{3}}{2}\times \frac{1}{2}$$

Cancel out 2 and 2.

$$\frac{2\sqrt{3}-1}{4}-\frac{\sqrt{3}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{\sqrt{3}}{2} times \frac{2}{2}.

$$\frac{2\sqrt{3}-1}{4}-\frac{2\sqrt{3}}{4}$$

Since \frac{2\sqrt{3}-1}{4} and \frac{2\sqrt{3}}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\sqrt{3}-1-2\sqrt{3}}{4}$$

Do the calculations in 2\sqrt{3}-1-2\sqrt{3}.

$$\frac{-1}{4}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$