Solve (-2)+(-2)+(-2)^2-4+1+1/4-51/4

$$( - 2 ) + ( - 2 ) + ( - 2 ) ^ { 2 } - 4 + 1 + \frac { 1 } { 4 } - 5 \frac { 1 } { 4 }$$

Evaluate

$$-8$$

Solution Steps

Subtract 2 from -2 to get -4.

$$-4+\left(-2\right)^{2}-4+1+\frac{1}{4}-\frac{5\times 4+1}{4}$$

Calculate -2 to the power of 2 and get 4.

$$-4+4-4+1+\frac{1}{4}-\frac{5\times 4+1}{4}$$

Add -4 and 4 to get 0.

$$-4+1+\frac{1}{4}-\frac{5\times 4+1}{4}$$

Add -4 and 1 to get -3.

$$-3+\frac{1}{4}-\frac{5\times 4+1}{4}$$

Convert -3 to fraction -\frac{12}{4}.

$$-\frac{12}{4}+\frac{1}{4}-\frac{5\times 4+1}{4}$$

Since -\frac{12}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-12+1}{4}-\frac{5\times 4+1}{4}$$

Add -12 and 1 to get -11.

$$-\frac{11}{4}-\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$-\frac{11}{4}-\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$-\frac{11}{4}-\frac{21}{4}$$

Since -\frac{11}{4} and \frac{21}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-21}{4}$$

Subtract 21 from -11 to get -32.

$$\frac{-32}{4}$$

Divide -32 by 4 to get -8.

$$-8$$

Factor

$$-8$$