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Popular >

expand f(x)(5-x)e^x

Solution

expand

f (x) (5 - x) e^{x}

Solution

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

Solution steps

f (x) (5 - x) e^{x}

= e^{x} f (x) (5 - x)

Apply the distributive law:

a (b - c) = ab - a c

a = f (x) e^{x}, b = 5, c = x

= f (x) e^{x} \cdot 5 - f (x) e^{x} x

= 5 e^{x} f (x) - e^{x} f (x) x

Simplify

5 e^{x} f (x) - e^{x} f (x) x : 5 e^{x} f x - e^{x} f x^{2}

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

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Frequently Asked Questions (FAQ)

What is expand f(x)(5-x)e^x ?
The solution to expand f(x)(5-x)e^x is 5e^xfx-e^xfx^2