What is factor 16r^2-pir^2 ?

The solution to factor 16r^2-pir^2 is -(sqrt(pi)+4)(sqrt(pi)-4)r^2

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factor 16r^2-pir^2

factor

16 r^{2} - π r^{2}

- (π + 4) (π - 4) r^{2}

Solution steps

16 r^{2} - π r^{2}

Rewrite

16 r^{2}

(2^{2} r)^{2}

= (2^{2} r)^{2} - π r^{2}

Rewrite

(2^{2} r)^{2} - π r^{2}

(2^{2} r)^{2} - (π r)^{2}

= (2^{2} r)^{2} - (π r)^{2}

Apply Difference of Two Squares Formula:

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

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

= (2^{2} r + π r) (2^{2} r - π r)

Refine

= (4 r + π r) (4 r - π r)

Factor

4 r + π r : r (π + 4)

= (π + 4) r (4 r - π r)

Factor

4 r - π r : - r (π - 4)

= - r (π + 4) r (π - 4)

Refine

= - (π + 4) (π - 4) r^{2}

2 b^{3} + 3 c^{3} - 2 b^{3} x - 3 c^{3} x

cos (x^{2} - 1)

10 - 221

C (5.2)

x^{5} - 5 x

What is factor 16r^2-pir^2 ?
The solution to factor 16r^2-pir^2 is -(sqrt(pi)+4)(sqrt(pi)-4)r^2