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

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

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expand (3-e^{3x})^2

expand

(3 - e^{3 x})^{2}

9 - 6 e^{3 x} + e^{6 x}

Solution steps

(3 - e^{3 x})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} - 2 \cdot 3 e^{3 x} + (e^{3 x})^{2} : 9 - 6 e^{3 x} + e^{6 x}

= 9 - 6 e^{3 x} + e^{6 x}

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

- x + (- 4 x + 1)^{2}

\frac{3}{s ( s ^{2} + 64 )}

(3 w + 12) (d w - 2 d x)

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