What is expand-2(9e^x+xe^x) ?

The solution to expand-2(9e^x+xe^x) is -18e^x-2e^xx

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expand-2(9e^x+xe^x)

expand

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

- 18 e^{x} - 2 e^{x} x

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply the numbers:

2 \cdot 9 = 18

= - 18 e^{x} - 2 e^{x} x

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What is expand-2(9e^x+xe^x) ?
The solution to expand-2(9e^x+xe^x) is -18e^x-2e^xx