Solve =[s(2)-4(2)^2/2-(2)^4/4]

$$= [ s ( 2 ) - \frac { 4 ( 2 ) ^ { 2 } } { 2 } - \frac { ( 2 ) ^ { 4 } } { 4 } ]$$

Evaluate

$$2\left(s-6\right)$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$s\times 2-\frac{4\times 4}{2}-\frac{2^{4}}{4}$$

Multiply 4 and 4 to get 16.

$$s\times 2-\frac{16}{2}-\frac{2^{4}}{4}$$

Divide 16 by 2 to get 8.

$$s\times 2-8-\frac{2^{4}}{4}$$

Calculate 2 to the power of 4 and get 16.

$$s\times 2-8-\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$s\times 2-8-4$$

Subtract 4 from -8 to get -12.

$$s\times 2-12$$

Factor

$$2\left(s-6\right)$$

Solution Steps

Factor out 2.

$$2\left(s-6\right)$$

Consider s-4-2. Multiply and combine like terms.

$$s-6$$

Rewrite the complete factored expression.

$$2\left(s-6\right)$$