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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(1 + \frac{3}{4} x)^{6}

\frac{( 2 x + 1 )}{( x - 1 ) ( 2 x ^{3} + 6 x ^{2} - x + 4 )}

(3 - 2)^{5}

sin (x) (csc (x) - 1)

\frac{( - 2 s - 6 ) ( - s ^{2} - 6 s + 99 )}{( s ^{2} + 6 s + 45 ) ^{3}}

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