What is expand e^{3x}(1-2e^{3x}+e^{6x}) ?

The solution to expand e^{3x}(1-2e^{3x}+e^{6x}) is e^{3x}-2e^{6x}+e^{9x}

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expand e^{3x}(1-2e^{3x}+e^{6x})

expand

e^{3 x} (1 - 2 e^{3 x} + e^{6 x})

e^{3 x} - 2 e^{6 x} + e^{9 x}

Solution steps

e^{3 x} (1 - 2 e^{3 x} + e^{6 x})

Distribute parentheses

= e^{3 x} \cdot 1 + e^{3 x} (- 2 e^{3 x}) + e^{3 x} e^{6 x}

Apply minus-plus rules

+ (- a) = - a

= 1 \cdot e^{3 x} - 2 e^{3 x} e^{3 x} + e^{3 x} e^{6 x}

Simplify

1 \cdot e^{3 x} - 2 e^{3 x} e^{3 x} + e^{3 x} e^{6 x} : e^{3 x} - 2 e^{6 x} + e^{9 x}

= e^{3 x} - 2 e^{6 x} + e^{9 x}

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5 (3 x - 2 = - \frac{7}{- 5})

What is expand e^{3x}(1-2e^{3x}+e^{6x}) ?
The solution to expand e^{3x}(1-2e^{3x}+e^{6x}) is e^{3x}-2e^{6x}+e^{9x}