Solve =(12m*s^-1)*(2s)+1/2(-6ms^-2)(2s)^2

$$= ( 12 m \cdot s ^ { - 1 } ) \times ( 2 s ) + \frac { 1 } { 2 } ( - 6 m s ^ { - 2 } ) ( 2 s ) ^ { 2 }$$

Evaluate

$$12m$$

Solution Steps

Multiply s^{-1} and s to get 1.

$$12m\times 2+\frac{1}{2}\left(-6\right)ms^{-2}\times \left(2s\right)^{2}$$

Multiply 12 and 2 to get 24.

$$24m+\frac{1}{2}\left(-6\right)ms^{-2}\times \left(2s\right)^{2}$$

Multiply \frac{1}{2} and -6 to get -3.

$$24m-3ms^{-2}\times \left(2s\right)^{2}$$

Expand \left(2s\right)^{2}.

$$24m-3ms^{-2}\times 2^{2}s^{2}$$

Calculate 2 to the power of 2 and get 4.

$$24m-3ms^{-2}\times 4s^{2}$$

Multiply -3 and 4 to get -12.

$$24m-12ms^{-2}s^{2}$$

Multiply s^{-2} and s^{2} to get 1.

$$24m-12m$$

Combine 24m and -12m to get 12m.

$$12m$$

Expand

$$12m$$

Solution Steps

Multiply s^{-1} and s to get 1.

$$12m\times 2+\frac{1}{2}\left(-6\right)ms^{-2}\times \left(2s\right)^{2}$$

Multiply 12 and 2 to get 24.

$$24m+\frac{1}{2}\left(-6\right)ms^{-2}\times \left(2s\right)^{2}$$

Multiply \frac{1}{2} and -6 to get -3.

$$24m-3ms^{-2}\times \left(2s\right)^{2}$$

Expand \left(2s\right)^{2}.

$$24m-3ms^{-2}\times 2^{2}s^{2}$$

Calculate 2 to the power of 2 and get 4.

$$24m-3ms^{-2}\times 4s^{2}$$

Multiply -3 and 4 to get -12.

$$24m-12ms^{-2}s^{2}$$

Multiply s^{-2} and s^{2} to get 1.

$$24m-12m$$

Combine 24m and -12m to get 12m.

$$12m$$