What is expand 20(6/5-6/5 e^{-20x}) ?

The solution to expand 20(6/5-6/5 e^{-20x}) is 24-24e^{-20x}

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expand 20(6/5-6/5 e^{-20x})

expand

20 (\frac{6}{5} - \frac{6}{5} e^{- 20 x})

24 - 24 e^{- 20 x}

Solution steps

20 (\frac{6}{5} - \frac{6}{5} e^{- 20 x})

Apply the distributive law:

a (b - c) = ab - a c

a = 20, b = \frac{6}{5}, c = \frac{6}{5} e^{- 20 x}

= 20 \cdot \frac{6}{5} - 20 \cdot \frac{6}{5} e^{- 20 x}

Simplify

20 \cdot \frac{6}{5} - 20 \cdot \frac{6}{5} e^{- 20 x} : 24 - 24 e^{- 20 x}

= 24 - 24 e^{- 20 x}

(A^{^{'}} + A B + A^{^{'}} BC) (A + B + C)

\frac{3 ( x ^{2} - 16 )}{2 x + 4}

\frac{x ( 25 - 4 x ^{2} - 4 y ^{2} )}{y ( 4 x ^{2} + 4 y ^{2} + 25 )}

(x - 5 i)^{2}

\frac{2 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

What is expand 20(6/5-6/5 e^{-20x}) ?
The solution to expand 20(6/5-6/5 e^{-20x}) is 24-24e^{-20x}