What is expand x^n(1.5+e^{-2x+8}) ?

The solution to expand x^n(1.5+e^{-2x+8}) is 1.5x^n+e^{-2x+8}x^n

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expand x^n(1.5+e^{-2x+8})

expand

x^{n} (1.5 + e^{- 2 x + 8})

1.5 x^{n} + e^{- 2 x + 8} x^{n}

Solution steps

x^{n} (1.5 + e^{- 2 x + 8})

Apply the distributive law:

a (b + c) = ab + a c

a = x^{n}, b = 1.5, c = e^{- 2 x + 8}

= x^{n} \cdot 1.5 + x^{n} e^{- 2 x + 8}

= 1.5 x^{n} + e^{- 2 x + 8} x^{n}

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What is expand x^n(1.5+e^{-2x+8}) ?
The solution to expand x^n(1.5+e^{-2x+8}) is 1.5x^n+e^{-2x+8}x^n