What is expand (x-5)^2e^x ?

The solution to expand (x-5)^2e^x is e^xx^2-10e^xx+25e^x

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expand (x-5)^2e^x

expand

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

e^{x} x^{2} - 10 e^{x} x + 25 e^{x}

Solution steps

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

(x - 5)^{2} = x^{2} - 10 x + 25

= e^{x} (x^{2} - 10 x + 25)

= e^{x} (x^{2} - 10 x + 25)

Distribute parentheses

= e^{x} x^{2} + e^{x} (- 10 x) + e^{x} \cdot 25

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{2} - 10 e^{x} x + 25 e^{x}

e^{2 t} (sin (2 t) - 1)

x d x - (1 + x^{2}) y d y

\frac{x ^{2} + 4 x - 1}{( x + 2 ) ^{2}}

(x + 3) (x + 2)

What is expand (x-5)^2e^x ?
The solution to expand (x-5)^2e^x is e^xx^2-10e^xx+25e^x