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Popular >

expand (3x^2-5x)e^x

Solution

expand

(3 x^{2} - 5 x) e^{x}

Solution

3 e^{x} x^{2} - 5 e^{x} x

Solution steps

(3 x^{2} - 5 x) e^{x}

= e^{x} (3 x^{2} - 5 x)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 3 x^{2}, c = 5 x

= e^{x} \cdot 3 x^{2} - e^{x} \cdot 5 x

= 3 e^{x} x^{2} - 5 e^{x} x

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Frequently Asked Questions (FAQ)

What is expand (3x^2-5x)e^x ?
The solution to expand (3x^2-5x)e^x is 3e^xx^2-5e^xx