es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Álgebra >

factor 16r^2-pir^2

Solución

factor

16 r^{2} - π r^{2}

Solución

- (π + 4) (π - 4) r^{2}

Pasos de solución

16 r^{2} - π r^{2}

Reescribir

16 r^{2}

como

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

= (2^{2} r)^{2} - π r^{2}

Reescribir

(2^{2} r)^{2} - π r^{2}

como

(2^{2} r)^{2} - (π r)^{2}

= (2^{2} r)^{2} - (π r)^{2}

Aplicar la siguiente regla para binomios al cuadrado:

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)

Simplificar

= (4 r + π r) (4 r - π r)

Factorizar

4 r + π r : r (π + 4)

= (π + 4) r (4 r - π r)

Factorizar

4 r - π r : - r (π - 4)

= - r (π + 4) r (π - 4)

Simplificar

= - (π + 4) (π - 4) r^{2}

Ejemplos populares

factor 2b^3+3c^3-2b^3x-3c^3x

f a c t or 2 b^{3} + 3 c^{3} - 2 b^{3} x - 3 c^{3} x

factor cos(x^2-1)

f a c t or cos (x^{2} - 1)

factor sqrt(10-2\sqrt{21)}

f a c t or 10 - 221

simplificar C(5.2)

s im pl i f y C (5.2)

f a c t or x^{5} - 5 x