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Popular >

expand (3-x^2)*e^x

Solution

expand

(3 - x^{2}) \cdot e^{x}

Solution

3 e^{x} - e^{x} x^{2}

Solution steps

(3 - x^{2}) e^{x}

= e^{x} (3 - x^{2})

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{x} \cdot 3 - e^{x} x^{2}

= 3 e^{x} - e^{x} x^{2}

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Frequently Asked Questions (FAQ)

What is expand (3-x^2)*e^x ?
The solution to expand (3-x^2)*e^x is 3e^x-e^xx^2