What is expand (1-2*pi*i*n)^2 ?

The solution to expand (1-2*pi*i*n)^2 is 1-4piin+4pi^2i^2n^2

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expand (1-2pii*n)^2

expand

(1 - 2 \cdot π \cdot i \cdot n)^{2}

1 - 4 πin + 4 π^{2} i^{2} n^{2}

Solution steps

(1 - 2 πin)^{2}

Apply Perfect Square Formula:

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

a = 1, b = 2 πin

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

Simplify

1^{2} - 2 \cdot 1 \cdot 2 πin + (2 πin)^{2} : 1 - 4 πin + 4 π^{2} i^{2} n^{2}

= 1 - 4 πin + 4 π^{2} i^{2} n^{2}

(4 + 9 x^{2}) d y - 9 - 4 y^{2}

(x + 1 - \frac{9}{x - 1}) \cdot 2

(x + 1) (x - \frac{1}{3})

(1 - t) w L - (1 - t) w L^{2}

(4 y + 9 x) d x + (3 y + 8 x) d y

What is expand (1-2*pi*i*n)^2 ?
The solution to expand (1-2*pi*i*n)^2 is 1-4piin+4pi^2i^2n^2