What is factor 4x^2-pix^2 ?

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

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factor 4x^2-pix^2

factor

4 x^{2} - π x^{2}

- (π + 2) (π - 2) x^{2}

Solution steps

4 x^{2} - π x^{2}

Rewrite

4 x^{2}

(2 x)^{2}

= (2 x)^{2} - π x^{2}

Rewrite

(2 x)^{2} - π x^{2}

(2 x)^{2} - (π x)^{2}

= (2 x)^{2} - (π x)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

= (2 x + π x) (2 x - π x)

Factor

2 x + π x : x (π + 2)

= (π + 2) x (2 x - π x)

Factor

2 x - π x : - x (π - 2)

= - x (π + 2) x (π - 2)

Refine

= - (π + 2) (π - 2) x^{2}

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

2 x^{4} - 16

196 c^{4} - 121 d^{6} e^{6}

(a + b + c) (ab + b c + a c) - ab c

e^{x - 4 t} + e^{x + 4 t}

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