What is factor 64pim^2-16 ?

The solution to factor 64pim^2-16 is 16(2sqrt(pi)m+1)(2sqrt(pi)m-1)

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factor 64pim^2-16

factor

64 π m^{2} - 16

16 (2 π m + 1) (2 π m - 1)

Solution steps

64 π m^{2} - 16

Rewrite

64 π m^{2} - 16

(64 π m)^{2} - 4^{2}

= (64 π m)^{2} - 4^{2}

Apply Difference of Two Squares Formula:

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

(64 π m)^{2} - 4^{2} = (64 π m + 4) (64 π m - 4)

= (64 π m + 4) (64 π m - 4)

Refine

= (8 π m + 4) (8 π m - 4)

Factor

8 π m + 4 : 4 (2 π m + 1)

= 4 (2 π m + 1) (8 π m - 4)

Factor

8 π m - 4 : 4 (2 π m - 1)

= 4 (2 π m + 1) \cdot 4 (2 π m - 1)

Refine

= 16 (2 π m + 1) (2 π m - 1)

g (6 x)

x^{3} - 2^{2} + 9 x - 9

3 \times 6

i^{73}

\frac{5 ab}{25 a ^{2} - 5 ab}

What is factor 64pim^2-16 ?
The solution to factor 64pim^2-16 is 16(2sqrt(pi)m+1)(2sqrt(pi)m-1)