What is expand-2(e^{3x}+10e^{2x}) ?

The solution to expand-2(e^{3x}+10e^{2x}) is -2e^{3x}-20e^{2x}

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expand-2(e^{3x}+10e^{2x})

expand

- 2 (e^{3 x} + 10 e^{2 x})

- 2 e^{3 x} - 20 e^{2 x}

Solution steps

- 2 (e^{3 x} + 10 e^{2 x})

Apply the distributive law:

a (b + c) = ab + a c

a = - 2, b = e^{3 x}, c = 10 e^{2 x}

= - 2 e^{3 x} + (- 2) \cdot 10 e^{2 x}

Apply minus-plus rules

+ (- a) = - a

= - 2 e^{3 x} - 2 \cdot 10 e^{2 x}

Multiply the numbers:

2 \cdot 10 = 20

= - 2 e^{3 x} - 20 e^{2 x}

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What is expand-2(e^{3x}+10e^{2x}) ?
The solution to expand-2(e^{3x}+10e^{2x}) is -2e^{3x}-20e^{2x}