How do you simplify #2/3np^2(30p^2+9n^2p-12)#?
1 Answer
May 27, 2017
Explanation:
The first step is distributing the
#(color(red)(2/3)color(green)(n)color(blue)(p^2))(color(red)(30)color(blue)(p^2)) + (color(red)(2/3)color(green)(n)color(blue)(p^2))(color(red)(9)color(green)(n^2)color(blue)(p)) - (color(red)(2/3)color(green)(n)color(blue)(p^2))(color(red)(12))#
The colored variables/constants were added to differentiate variables from constants and to show clearly what is being multiplied.
Now we need to individually multiply these terms.
#color(red)(20)color(green)(n)color(blue)(p^4) + color(red)(6)color(green)(n^3)color(blue)(p^3) - color(red)(8)color(green)(n)color(blue)(p^2)#
And that's all there is to it.