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Popular >

expand (2+6x)x^2e^x

Solution

expand

(2 + 6 x) x^{2} e^{x}

Solution

2 e^{x} x^{2} + 6 e^{x} x^{3}

Solution steps

(2 + 6 x) x^{2} e^{x}

= e^{x} x^{2} (2 + 6 x)

Apply the distributive law:

a (b + c) = ab + a c

a = x^{2} e^{x}, b = 2, c = 6 x

= x^{2} e^{x} \cdot 2 + x^{2} e^{x} \cdot 6 x

= 2 e^{x} x^{2} + 6 e^{x} x^{2} x

6 e^{x} x^{2} x = 6 e^{x} x^{3}

= 2 e^{x} x^{2} + 6 e^{x} x^{3}

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Frequently Asked Questions (FAQ)

What is expand (2+6x)x^2e^x ?
The solution to expand (2+6x)x^2e^x is 2e^xx^2+6e^xx^3