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Popular Álgebra >

desarrollar 2pir^2*(pir-2pir^2)

Solución

desarrollar

2 π r^{2} \cdot (π r - 2 π r^{2})

Solución

- 4 π^{2} r^{4} + 2 π^{2} r^{3}

Pasos de solución

2 π r^{2} (π r - 2 π r^{2})

Poner los parentesis utilizando:

a (b - c) = ab - a c

a = 2 π r^{2}, b = π r, c = 2 π r^{2}

= 2 π r^{2} π r - 2 π r^{2} \cdot 2 π r^{2}

= 2 ππ r^{2} r - 2 \cdot 2 ππ r^{2} r^{2}

Simplificar

2 ππ r^{2} r - 2 \cdot 2 ππ r^{2} r^{2} : - 4 π^{2} r^{4} + 2 π^{2} r^{3}

= - 4 π^{2} r^{4} + 2 π^{2} r^{3}

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