What is #(-15a^6b^3c^2) -: (-3a^3b^2c)#?

1 Answer
Apr 10, 2017

#=5a^3bc#

Explanation:

When simplifying in Algebra, do it in 3 steps... Look at :

  • the signs
  • the numbers
  • the indices

Division is done easier if it is in fraction form:

#(-15a^6b^3c^2)/(-3a^3b^2c)#

The signs? "Negative divided by negative is a positive."

The numbers? "#15 div 3 = 5#"

The indices? "Subtract the indices of like bases.

#(color(red)(-)color(blue)(15)(a^6b^3c^2))/(color(red)(-)color(blue)(3)(a^3b^2c)) = color(red)(+)color(blue)(5)(a^3bc)#

#=5a^3bc#