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Popular >

expand ((Ax+B)e^x)x

Solution

expand

((A x + B) e^{x}) x

Solution

A e^{x} x^{2} + B e^{x} x

Solution steps

((A x + B) e^{x}) x

Remove parentheses:

(a) = a

= (A x + B) e^{x} x

= e^{x} x (A x + B)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x} x, b = A x, c = B

= e^{x} x A x + e^{x} x B

= A e^{x} xx + B e^{x} x

A e^{x} xx = A e^{x} x^{2}

= A e^{x} x^{2} + B e^{x} x

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Frequently Asked Questions (FAQ)

What is expand ((Ax+B)e^x)x ?
The solution to expand ((Ax+B)e^x)x is Ae^xx^2+Be^xx