Question

Solve (-4/3*pi*rˆ3*x) + (4*pi*rˆ2*y)

Answer 1

`(-(4)/(3)\pi r^3 x)+(4\pi r^2y)=4\pi r^2(-(1)/(3)rx+y)`

Explanation:

`(-(4)/(3)\pi r^3 x)+(4\pi r^2y)\\\\=[4\pi r^2* (-(1)/(3)rx)]+[4\pi r^2y]\\\\4\pi r^2\ is\ common\ in\ both\ expression\\\\ =4\pi r^2(-(1)/(3)rx+y)\\\\(-(4)/(3)\pi r^3 x)+(4\pi r^2y)=4\pi r^2(-(1)/(3)rx+y)`