What is expand (2Ax+B)e^x+e^x(Ax^2+Bx) ?

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

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expand (2Ax+B)e^x+e^x(Ax^2+Bx)

expand

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

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

Solution steps

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

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

Expand

e^{x} (2 A x + B) : 2 A e^{x} x + B e^{x}

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

Expand

e^{x} (A x^{2} + B x) : A e^{x} x^{2} + B e^{x} x

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

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