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

The solution to expand (e^{3x}-2)^2 is e^{6x}-4e^{3x}+4

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

expand

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

e^{6 x} - 4 e^{3 x} + 4

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{3 x}, b = 2

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

Simplify

(e^{3 x})^{2} - 2 e^{3 x} \cdot 2 + 2^{2} : e^{6 x} - 4 e^{3 x} + 4

= e^{6 x} - 4 e^{3 x} + 4

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What is expand (e^{3x}-2)^2 ?
The solution to expand (e^{3x}-2)^2 is e^{6x}-4e^{3x}+4