Solve (20t_{2}-20t_{1})-(8000e^-0,01t-8000e^-0,01t)

$$( 20 t _ { 2 } - 20 t _ { 1 } ) - ( 8000 e ^ { - 0,01 t } - 8000 e ^ { - 0,01 t } )$$

Evaluate

$$20\left(t_{2}-t_{1}\right)$$

Solution Steps

Combine 8000e^{-0,01t} and -8000e^{-0,01t} to get 0.

$$20t_{2}-20t_{1}-0$$

Multiply -1 and 0 to get 0.

$$20t_{2}-20t_{1}+0$$

Anything plus zero gives itself.

$$20t_{2}-20t_{1}$$

Factor

$$20\left(t_{2}-t_{1}\right)$$

Solution Steps

Combine 8000e^{-0,01t} and -8000e^{-0,01t} to get 0.

$$factor(20t_{2}-20t_{1}-0)$$

Multiply -1 and 0 to get 0.

$$factor(20t_{2}-20t_{1}+0)$$

Anything plus zero gives itself.

$$factor(20t_{2}-20t_{1})$$

Factor out 20.

$$20\left(t_{2}-t_{1}\right)$$