What is expand (1+e^{3t})^2 ?

The solution to expand (1+e^{3t})^2 is 1+2e^{3t}+e^{6t}

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expand (1+e^{3t})^2

expand

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

1 + 2 e^{3 t} + e^{6 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{3 t}

= 1^{2} + 2 \cdot 1 \cdot e^{3 t} + (e^{3 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot e^{3 t} + (e^{3 t})^{2} : 1 + 2 e^{3 t} + e^{6 t}

= 1 + 2 e^{3 t} + e^{6 t}

\frac{c}{2 ( y - c )}

x (e^{i y} + e^{i 2 π y})

\frac{1}{( s + a ) ( s + b ) ^{2}}

\frac{3 ( x + 2 )}{5}

3 (11 + 2)

What is expand (1+e^{3t})^2 ?
The solution to expand (1+e^{3t})^2 is 1+2e^{3t}+e^{6t}