What is expand (2-2pix)^2 ?

The solution to expand (2-2pix)^2 is 4pi^2x^2-8pix+4

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expand (2-2pix)^2

expand

(2 - 2 π x)^{2}

4 π^{2} x^{2} - 8 π x + 4

Solution steps

(2 - 2 π x)^{2}

Apply Perfect Square Formula:

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

a = 2, b = 2 π x

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

Simplify

2^{2} - 2 \cdot 2 \cdot 2 π x + (2 π x)^{2} : 4 - 8 π x + 4 π^{2} x^{2}

= 4 - 8 π x + 4 π^{2} x^{2}

Rewrite in standard form

= 4 π^{2} x^{2} - 8 π x + 4

- \frac{5}{12 ( x + 2 )} + \frac{5 x - 8}{12 ( x ^{2} - 2 x + 4 )}

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

(- \frac{3}{4} x + 10)^{2}

(- 3 + 251) \times 3 π

What is expand (2-2pix)^2 ?
The solution to expand (2-2pix)^2 is 4pi^2x^2-8pix+4