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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

65 - 85 + 105

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