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

The solution to expand (e^{2x}-1)^2 is e^{4x}-2e^{2x}+1

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

expand

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

e^{4 x} - 2 e^{2 x} + 1

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2 x}, b = 1

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

Simplify

(e^{2 x})^{2} - 2 e^{2 x} \cdot 1 + 1^{2} : e^{4 x} - 2 e^{2 x} + 1

= e^{4 x} - 2 e^{2 x} + 1

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

\frac{x ^{2} + 5}{x ^{3} ( x ^{2} + 4 )}

(x^{2} ln (x)) d y + (x y - 1) d x

(\frac{3 i}{n} - 2)^{2}

(a + bi)^{5}

What is expand (e^{2x}-1)^2 ?
The solution to expand (e^{2x}-1)^2 is e^{4x}-2e^{2x}+1