What is expand (e^t+te^t)^2 ?

The solution to expand (e^t+te^t)^2 is e^{2t}+2e^{2t}t+e^{2t}t^2

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expand (e^t+te^t)^2

expand

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

e^{2 t} + 2 e^{2 t} t + e^{2 t} t^{2}

Solution steps

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

= (e^{t} + e^{t} t)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = e^{t}, b = t e^{t}

= (e^{t})^{2} + 2 e^{t} t e^{t} + (t e^{t})^{2}

Simplify

(e^{t})^{2} + 2 e^{t} t e^{t} + (t e^{t})^{2} : e^{2 t} + 2 e^{2 t} t + e^{2 t} t^{2}

= e^{2 t} + 2 e^{2 t} t + e^{2 t} t^{2}

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

2 x l e f t (3 x^{2} - 5 x + 1)

4^{2}

\frac{x - 29}{( x - 2 ) ^{2}}

(x + 1) x - 1

What is expand (e^t+te^t)^2 ?
The solution to expand (e^t+te^t)^2 is e^{2t}+2e^{2t}t+e^{2t}t^2