What is expand (t+5)^2e^{at} ?

The solution to expand (t+5)^2e^{at} is e^{ta}t^2+10e^{ta}t+25e^{ta}

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expand (t+5)^2e^{at}

expand

(t + 5)^{2} e^{a t}

e^{t a} t^{2} + 10 e^{t a} t + 25 e^{t a}

Solution steps

(t + 5)^{2} e^{a t}

(t + 5)^{2} = t^{2} + 10 t + 25

= e^{t a} (t^{2} + 10 t + 25)

= e^{t a} (t^{2} + 10 t + 25)

Distribute parentheses

= e^{a t} t^{2} + e^{a t} \cdot 10 t + e^{a t} \cdot 25

= e^{t a} t^{2} + 10 e^{t a} t + 25 e^{t a}

(2 cos (x) - 1) (cos (x) + 1)

x (8 - 2 ln (x))

2 (1 + sin (θ))

x (x^{2} - 2)

- \frac{12 x}{( x ^{2} + 3 ) ^{2}}

What is expand (t+5)^2e^{at} ?
The solution to expand (t+5)^2e^{at} is e^{ta}t^2+10e^{ta}t+25e^{ta}