desarrollar pir^2(2(-r+30))

Solución

desarrollar

π r^{2} (2 (- r + 30))

- 2 π r^{3} + 60 π r^{2}

Pasos de solución

π r^{2} (2 (- r + 30))

Quitar los parentesis:

(a) = a

= π r^{2} \cdot 2 (- r + 30)

= 2 π r^{2} (- r + 30)

Poner los parentesis utilizando:

a (b + c) = ab + a c

a = π r^{2} \cdot 2, b = - r, c = 30

= π r^{2} \cdot 2 (- r) + π r^{2} \cdot 2 \cdot 30

Aplicar las reglas de los signos

+ (- a) = - a

= - 2 π r^{2} r + 2 \cdot 30 π r^{2}

Simplificar

- 2 π r^{2} r + 2 \cdot 30 π r^{2} : - 2 π r^{3} + 60 π r^{2}

= - 2 π r^{3} + 60 π r^{2}

e x p an d \frac{2 ( 3 x + 10 )}{( 4 + x ) ^{\frac{1}{2}}}

e x p an d A (- 2, - \frac{π}{3})

e x p an d \frac{3 x ^{2} - 2 3 x + 1}{( x - 1 ) ^{2}}

e x p an d \frac{x ^{2} + 2 x - 20}{( x - 4 ) ( x - 6 )}

e x p an d \frac{x ^{2} ( x + 1 ) ^{3}}{( x - 7 ) ( x + 3 ) ^{2} ( - x ^{2} - 1 )}