What is expand (1+e^{2t})^2 ?

The solution to expand (1+e^{2t})^2 is 1+2e^{2t}+e^{4t}

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expand (1+e^{2t})^2

expand

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

1 + 2 e^{2 t} + e^{4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{2 t}

= 1^{2} + 2 \cdot 1 \cdot e^{2 t} + (e^{2 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot e^{2 t} + (e^{2 t})^{2} : 1 + 2 e^{2 t} + e^{4 t}

= 1 + 2 e^{2 t} + e^{4 t}

(x + 1)^{2}

(q + 2) (q - 2)

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

(x + y i)^{2}

(1 + i)^{7}

What is expand (1+e^{2t})^2 ?
The solution to expand (1+e^{2t})^2 is 1+2e^{2t}+e^{4t}