What is expand e^{7x}(7-9e^{3x}) ?

The solution to expand e^{7x}(7-9e^{3x}) is 7e^{7x}-9e^{10x}

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expand e^{7x}(7-9e^{3x})

expand

e^{7 x} (7 - 9 e^{3 x})

7 e^{7 x} - 9 e^{10 x}

Solution steps

e^{7 x} (7 - 9 e^{3 x})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{7 x}, b = 7, c = 9 e^{3 x}

= e^{7 x} \cdot 7 - e^{7 x} \cdot 9 e^{3 x}

= 7 e^{7 x} - 9 e^{7 x} e^{3 x}

9 e^{7 x} e^{3 x} = 9 e^{10 x}

= 7 e^{7 x} - 9 e^{10 x}

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What is expand e^{7x}(7-9e^{3x}) ?
The solution to expand e^{7x}(7-9e^{3x}) is 7e^{7x}-9e^{10x}