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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{2 x ^{2} + 5 x + 7}{( x + 1 ) ( x ^{2} + x + 1 )}

\frac{s ^{2} + 2 - e ^{- s}}{s ( s ^{2} + 16 )}

A (2, - 3) e B (- 2, 1)

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

(\frac{1 - x ^{3}}{1 - x})^{5}

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