What is factor 64x^2-2pix^2 ?

The solution to factor 64x^2-2pix^2 is (sqrt(2)sqrt(pi)x+8x)(8x-sqrt(2)sqrt(pi)x)

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factor 64x^2-2pix^2

factor

64 x^{2} - 2 π x^{2}

(2 π x + 8 x) (8 x - 2 π x)

Solution steps

64 x^{2} - 2 π x^{2}

Rewrite

64 x^{2}

(2^{3} x)^{2}

= (2^{3} x)^{2} - 2 π x^{2}

Rewrite

(2^{3} x)^{2} - 2 π x^{2}

(2^{3} x)^{2} - (2 π x)^{2}

= (2^{3} x)^{2} - (2 π x)^{2}

Apply Difference of Two Squares Formula:

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

(2^{3} x)^{2} - (2 π x)^{2} = (2^{3} x + 2 π x) (2^{3} x - 2 π x)

= (2^{3} x + 2 π x) (2^{3} x - 2 π x)

Refine

= (2 π x + 8 x) (8 x - 2 π x)

ma + a - m c - c

\cdot (2 x - 3 y)

mmmmmm + 16 mmm + 5

(x^{2} - 3 x) - 3

(x - 0.6)^{2} (2.5)

What is factor 64x^2-2pix^2 ?
The solution to factor 64x^2-2pix^2 is (sqrt(2)sqrt(pi)x+8x)(8x-sqrt(2)sqrt(pi)x)