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Popular >

expand (2x+3)e^{5x}

Solution

expand

(2 x + 3) e^{5 x}

Solution

2 e^{5 x} x + 3 e^{5 x}

Solution steps

(2 x + 3) e^{5 x}

= e^{5 x} (2 x + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{5 x}, b = 2 x, c = 3

= e^{5 x} \cdot 2 x + e^{5 x} \cdot 3

= 2 e^{5 x} x + 3 e^{5 x}

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Frequently Asked Questions (FAQ)

What is expand (2x+3)e^{5x} ?
The solution to expand (2x+3)e^{5x} is 2e^{5x}x+3e^{5x}