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Popular >

expand (4x-1)e^{4x}

Solution

expand

(4 x - 1) e^{4 x}

Solution

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

Solution steps

(4 x - 1) e^{4 x}

= e^{4 x} (4 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 x}, b = 4 x, c = 1

= e^{4 x} \cdot 4 x - e^{4 x} \cdot 1

= 4 e^{4 x} x - 1 \cdot e^{4 x}

Multiply:

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

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

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Frequently Asked Questions (FAQ)

What is expand (4x-1)e^{4x} ?
The solution to expand (4x-1)e^{4x} is 4e^{4x}x-e^{4x}