Solve 4*{left(1/2right)}^2-3*-1^2+2*(-1)*1/2

$$4 \times { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } -3 \times { -1 }^{ 2 } +2 \times (-1) \times \frac{ 1 }{ 2 }$$

Evaluate

$$-3$$

Solution Steps

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

$$4\times \frac{1}{4}-3\left(-1\right)^{2}+2\left(-1\right)\times \frac{1}{2}$$

Cancel out 4 and 4.

$$1-3\left(-1\right)^{2}+2\left(-1\right)\times \frac{1}{2}$$

Calculate -1 to the power of 2 and get 1.

$$1-3\times 1+2\left(-1\right)\times \frac{1}{2}$$

Multiply 3 and 1 to get 3.

$$1-3+2\left(-1\right)\times \frac{1}{2}$$

Subtract 3 from 1 to get -2.

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

Multiply 2 and -1 to get -2.

$$-2-2\times \frac{1}{2}$$

Multiply -2 times \frac{1}{2}.

$$-2-1$$

Subtract 1 from -2 to get -3.

$$-3$$

Factor

$$-3$$