What is expand (pi-2x)^2 ?

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

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expand (pi-2x)^2

expand

(π - 2 x)^{2}

4 x^{2} - 4 π x + π^{2}

Solution steps

(π - 2 x)^{2}

Apply Perfect Square Formula:

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

a = π, b = 2 x

= π^{2} - 2 π 2 x + (2 x)^{2}

Simplify

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

= π^{2} - 4 π x + 4 x^{2}

Rewrite in standard form

= 4 x^{2} - 4 π x + π^{2}

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