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Popular >

expand 3(3-x)e^x

Solution

expand

3 (3 - x) e^{x}

Solution

9 e^{x} - 3 e^{x} x

Solution steps

3 (3 - x) e^{x}

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply the numbers:

3 \cdot 3 = 9

= 9 e^{x} - 3 e^{x} x

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Frequently Asked Questions (FAQ)

What is expand 3(3-x)e^x ?
The solution to expand 3(3-x)e^x is 9e^x-3e^xx