What is expand 20(15e^{-(2x)/5}+1) ?

The solution to expand 20(15e^{-(2x)/5}+1) is 300e^{-(2x)/5}+20

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expand 20(15e^{-(2x)/5}+1)

expand

20 (15 e^{- \frac{2 x}{5}} + 1)

300 e^{- \frac{2 x}{5}} + 20

Solution steps

20 (15 e^{- \frac{2 x}{5}} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 20, b = 15 e^{- \frac{2 x}{5}}, c = 1

= 20 \cdot 15 e^{- \frac{2 x}{5}} + 20 \cdot 1

Simplify

20 \cdot 15 e^{- \frac{2 x}{5}} + 20 \cdot 1 : 300 e^{- \frac{2 x}{5}} + 20

= 300 e^{- \frac{2 x}{5}} + 20

\frac{3 x ^{2} - 6 x + 5}{( x - 1 ) ^{2}}

(- 3 + 5)^{4}

\frac{( x - 2 ) ( x - 3 )}{6}

(x + 1) (x^{2} + \frac{1}{5})

\frac{3}{4} - \frac{2}{5} + \frac{3}{7}

What is expand 20(15e^{-(2x)/5}+1) ?
The solution to expand 20(15e^{-(2x)/5}+1) is 300e^{-(2x)/5}+20