What is expand (-9e^{-x})(x^2-9) ?

The solution to expand (-9e^{-x})(x^2-9) is -9e^{-x}x^2+81e^{-x}

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expand (-9e^{-x})(x^2-9)

expand

(- 9 e^{- x}) (x^{2} - 9)

- 9 e^{- x} x^{2} + 81 e^{- x}

Solution steps

(- 9 e^{- x}) (x^{2} - 9)

Apply the distributive law:

a (b - c) = ab - a c

a = (- 9 e^{- x}), b = x^{2}, c = 9

= (- 9 e^{- x}) x^{2} - (- 9 e^{- x}) \cdot 9

= x^{2} (- 9 e^{- x}) - 9 (- 9 e^{- x})

Simplify

x^{2} (- 9 e^{- x}) - 9 (- 9 e^{- x}) : - 9 e^{- x} x^{2} + 81 e^{- x}

= - 9 e^{- x} x^{2} + 81 e^{- x}

3 \cdot 0^{2} + x + 1

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

ro t a c i o na l (x^{3} y + y^{5} z^{2})

so l v e (x - 6) (x - 5)

e^{x (x + 2) y}

What is expand (-9e^{-x})(x^2-9) ?
The solution to expand (-9e^{-x})(x^2-9) is -9e^{-x}x^2+81e^{-x}