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Popular >

expand e^{5x}(2x-1)

Solution

expand

e^{5 x} (2 x - 1)

Solution

2 e^{5 x} x - e^{5 x}

Solution steps

e^{5 x} (2 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{5 x}, b = 2 x, c = 1

= e^{5 x} \cdot 2 x - e^{5 x} \cdot 1

= 2 e^{5 x} x - 1 \cdot e^{5 x}

Multiply:

1 \cdot e^{5 x} = e^{5 x}

= 2 e^{5 x} x - e^{5 x}

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Frequently Asked Questions (FAQ)

What is expand e^{5x}(2x-1) ?
The solution to expand e^{5x}(2x-1) is 2e^{5x}x-e^{5x}