Solve (1^2-5)^4/4-(-1^2-5)^4/4

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

Evaluate

$$-260$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

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

Subtract 5 from 1 to get -4.

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

Calculate -4 to the power of 4 and get 256.

$$\frac{256}{4}-\frac{\left(-1^{2}-5\right)^{4}}{4}$$

Divide 256 by 4 to get 64.

$$64-\frac{\left(-1^{2}-5\right)^{4}}{4}$$

Calculate 1 to the power of 2 and get 1.

$$64-\frac{\left(-1-5\right)^{4}}{4}$$

Subtract 5 from -1 to get -6.

$$64-\frac{\left(-6\right)^{4}}{4}$$

Calculate -6 to the power of 4 and get 1296.

$$64-\frac{1296}{4}$$

Divide 1296 by 4 to get 324.

$$64-324$$

Subtract 324 from 64 to get -260.

$$-260$$

Factor

$$-260$$