What is expand 5(3-x)e^x ?

The solution to expand 5(3-x)e^x is 15e^x-5e^xx

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expand 5(3-x)e^x

expand

5 (3 - x) e^{x}

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

Solution steps

5 (3 - x) e^{x}

= 5 e^{x} (3 - x)

Apply the distributive law:

a (b - c) = ab - a c

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

= 5 e^{x} \cdot 3 - 5 e^{x} x

= 5 \cdot 3 e^{x} - 5 e^{x} x

Multiply the numbers:

5 \cdot 3 = 15

= 15 e^{x} - 5 e^{x} x

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