Solve {left(-11/2right)}^2-3(-1/2)+1/4

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

Evaluate

$$4$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}-3\left(-\frac{1}{2}\right)+\frac{1}{4}$$

Multiply 3 and -\frac{1}{2} to get -\frac{3}{2}.

$$\frac{9}{4}-\left(-\frac{3}{2}\right)+\frac{1}{4}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{9}{4}+\frac{3}{2}+\frac{1}{4}$$

Add \frac{9}{4} and \frac{3}{2} to get \frac{15}{4}.

$$\frac{15}{4}+\frac{1}{4}$$

Add \frac{15}{4} and \frac{1}{4} to get 4.

$$4$$

Factor

$$2^{2}$$