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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

\frac{( x ^{2} + 9 ) ( x + 3 )}{x + 2}

\frac{3 x ( x - 2 )}{2 x - 1}

\frac{A ( cos ( wt ) - 1 )}{RCw}

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

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