What is factor 36x^2-4pix^2 ?

The solution to factor 36x^2-4pix^2 is -4(sqrt(pi)+3)(sqrt(pi)-3)x^2

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factor 36x^2-4pix^2

factor

36 x^{2} - 4 π x^{2}

- 4 (π + 3) (π - 3) x^{2}

Solution steps

36 x^{2} - 4 π x^{2}

Rewrite

36 x^{2}

(6 x)^{2}

= (6 x)^{2} - 4 π x^{2}

Rewrite

(6 x)^{2} - 4 π x^{2}

(6 x)^{2} - (4 π x)^{2}

= (6 x)^{2} - (4 π x)^{2}

Apply Difference of Two Squares Formula:

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

(6 x)^{2} - (4 π x)^{2} = (6 x + 4 π x) (6 x - 4 π x)

= (6 x + 4 π x) (6 x - 4 π x)

Refine

= (2 π x + 6 x) (6 x - 2 π x)

Factor

2 π x + 6 x : 2 x (π + 3)

= 2 (π + 3) x (6 x - 2 π x)

Factor

6 x - 2 π x : - 2 x (π - 3)

= - 2 x (π + 3) \cdot 2 x (π - 3)

Refine

= - 4 (π + 3) (π - 3) x^{2}

[(A r - s) + 2] [(A r - s) - 2]

6 e - 8

y^{2} - 3 y + 2.25

(π) \cdot 2

5 y (8 - 3 z)^{2} - (1 - 5 z)^{2}

What is factor 36x^2-4pix^2 ?
The solution to factor 36x^2-4pix^2 is -4(sqrt(pi)+3)(sqrt(pi)-3)x^2