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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

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