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Popular >

expand 2e^x(e^2-1)

Solution

expand

2 e^{x} (e^{2} - 1)

Solution

2 e^{2 + x} - 2 e^{x}

Solution steps

2 e^{x} (e^{2} - 1)

= 2 (e^{2} - 1) e^{x}

Apply the distributive law:

a (b - c) = ab - a c

a = 2 e^{x}, b = e^{2}, c = 1

= 2 e^{x} e^{2} - 2 e^{x} \cdot 1

= 2 e^{2} e^{x} - 2 \cdot 1 \cdot e^{x}

Simplify

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

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

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Frequently Asked Questions (FAQ)

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