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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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