What is expand (3+e^{6t})^2 ?

The solution to expand (3+e^{6t})^2 is 9+6e^{6t}+e^{12t}

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expand (3+e^{6t})^2

expand

(3 + e^{6 t})^{2}

9 + 6 e^{6 t} + e^{12 t}

Solution steps

(3 + e^{6 t})^{2}

Apply Perfect Square Formula:

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

a = 3, b = e^{6 t}

= 3^{2} + 2 \cdot 3 e^{6 t} + (e^{6 t})^{2}

Simplify

3^{2} + 2 \cdot 3 e^{6 t} + (e^{6 t})^{2} : 9 + 6 e^{6 t} + e^{12 t}

= 9 + 6 e^{6 t} + e^{12 t}

x + (x + 2)

e^{- x} - e^{- x} (x + A)

\frac{1}{( s ^{2} + k ^{2} ) ^{2}}

(- \frac{2}{7}, 6) y (1, - 3)

(4 x y^{2} + 3 y) d x + (3 x^{2} y + 2 x) d y

What is expand (3+e^{6t})^2 ?
The solution to expand (3+e^{6t})^2 is 9+6e^{6t}+e^{12t}