What is factor 4r^2-pir^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4r^2-pir^2

factor

4 r^{2} - π r^{2}

- (π + 2) (π - 2) r^{2}

Solution steps

4 r^{2} - π r^{2}

Rewrite

4 r^{2}

(2 r)^{2}

= (2 r)^{2} - π r^{2}

Rewrite

(2 r)^{2} - π r^{2}

(2 r)^{2} - (π r)^{2}

= (2 r)^{2} - (π r)^{2}

Apply Difference of Two Squares Formula:

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

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

= (2 r + π r) (2 r - π r)

Factor

2 r + π r : r (π + 2)

= (π + 2) r (2 r - π r)

Factor

2 r - π r : - r (π - 2)

= - r (π + 2) r (π - 2)

Refine

= - (π + 2) (π - 2) r^{2}

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

5 (x + y)^{2} - 17 (x + y) + 6

\frac{63}{1 + 8 e ^{- 315 (5)}}

\frac{d}{d t} ((x) (t^{2}))

- 3 sin (40 t + 50)

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