What is expand (15+85e^{-0.12(x)})300*1.12^x ?

The solution to expand (15+85e^{-0.12(x)})300*1.12^x is 4500*1.12^x+25500*1.12^xe^{-0.12x}

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expand (15+85e^{-0.12(x)})300*1.12^x

expand

(15 + 85 e^{- 0.12 (x)}) 300 \cdot 1.1 2^{x}

4500 \cdot 1.1 2^{x} + 25500 \cdot 1.1 2^{x} e^{- 0.12 x}

Solution steps

(15 + 85 e^{- 0.12 (x)}) \cdot 300 \cdot 1.1 2^{x}

= 300 \cdot 1.1 2^{x} (15 + 85 e^{- 0.12 (x)})

Apply the distributive law:

a (b + c) = ab + a c

a = 300 \cdot 1.1 2^{x}, b = 15, c = 85 e^{- 0.12 (x)}

= 300 \cdot 1.1 2^{x} \cdot 15 + 300 \cdot 1.1 2^{x} \cdot 85 e^{- 0.12 (x)}

= 300 \cdot 15 \cdot 1.1 2^{x} + 300 \cdot 85 \cdot 1.1 2^{x} e^{- 0.12 (x)}

Simplify

300 \cdot 15 \cdot 1.1 2^{x} + 300 \cdot 85 \cdot 1.1 2^{x} e^{- 0.12 (x)} : 4500 \cdot 1.1 2^{x} + 25500 \cdot 1.1 2^{x} e^{- 0.12 x}

= 4500 \cdot 1.1 2^{x} + 25500 \cdot 1.1 2^{x} e^{- 0.12 x}

(3 sin (x) + 2 cos (x))^{2} + (2 sin (x) - 3 cos (x))

\frac{1}{4} (cos (3 x) + 3 cos (x))

- (t - 3)^{2} e^{t - 3}

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

What is expand (15+85e^{-0.12(x)})300*1.12^x ?
The solution to expand (15+85e^{-0.12(x)})300*1.12^x is 4500*1.12^x+25500*1.12^xe^{-0.12x}