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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

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

3 (2 + 5)

(cosh (x) + sinh (x))^{2}

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1 + \frac{e ^{x} + cos ( x )}{( e ^{x} + sin ( x ) ) ^{2} + 1}

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