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Popular >

expand (3x^2+1)e^x

Solution

expand

(3 x^{2} + 1) e^{x}

Solution

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

Solution steps

(3 x^{2} + 1) e^{x}

= e^{x} (3 x^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = 3 x^{2}, c = 1

= e^{x} \cdot 3 x^{2} + e^{x} \cdot 1

= 3 e^{x} x^{2} + 1 \cdot e^{x}

Multiply:

1 \cdot e^{x} = e^{x}

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

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Frequently Asked Questions (FAQ)

What is expand (3x^2+1)e^x ?
The solution to expand (3x^2+1)e^x is 3e^xx^2+e^x