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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= e^{(x)} \cdot 2 x + e^{(x)} \cdot 5

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

Remove parentheses:

(a) = a

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

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Frequently Asked Questions (FAQ)

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