What is expand 10(1+499e^{-1.78t}) ?

The solution to expand 10(1+499e^{-1.78t}) is 10+4990e^{-1.78t}

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expand 10(1+499e^{-1.78t})

expand

10 (1 + 499 e^{- 1.78 t})

10 + 4990 e^{- 1.78 t}

Solution steps

10 (1 + 499 e^{- 1.78 t})

Apply the distributive law:

a (b + c) = ab + a c

a = 10, b = 1, c = 499 e^{- 1.78 t}

= 10 \cdot 1 + 10 \cdot 499 e^{- 1.78 t}

Simplify

10 \cdot 1 + 10 \cdot 499 e^{- 1.78 t} : 10 + 4990 e^{- 1.78 t}

= 10 + 4990 e^{- 1.78 t}

cot (4 x) (sin (x) + sin (4 x) + sin (7 x))

(x^{2} + 2 x y + y^{2}) (sin (x + y))

e^{\frac{b}{( m + b y ) ( - b y - m )}}

\frac{x ^{3} + 2 x ^{2} + x + 4}{( x + 1 ) ^{2}}

(e^{2} - \frac{1}{e}) 9

What is expand 10(1+499e^{-1.78t}) ?
The solution to expand 10(1+499e^{-1.78t}) is 10+4990e^{-1.78t}