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Popular >

expand (4-e^x)e^x

Solution

expand

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

Solution

4 e^{x} - e^{2 x}

Solution steps

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

= e^{x} (4 - e^{x})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 4, c = e^{x}

= e^{x} \cdot 4 - e^{x} e^{x}

= 4 e^{x} - e^{x} e^{x}

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

= 4 e^{x} - e^{2 x}

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Frequently Asked Questions (FAQ)

What is expand (4-e^x)e^x ?
The solution to expand (4-e^x)e^x is 4e^x-e^{2x}