How do you combine like terms in #(5x ^ { 3} + 12+ 6x ^ { 2} ) - ( 15x ^ { 2} + 3x - 2)#?

1 Answer
Nov 6, 2016

#=5x^3-9x^2-3x +14#

Explanation:

Remove the parentheses first.

#(5x ^ { 3} + 12+ 6x ^ { 2} ) - ( 15x ^ { 2} + 3x - 2)#

#=5x ^ { 3} + 12+ 6x ^ { 2} -15x ^ { 2} - 3x +2" "larr# re-arrange

#=5x^3 + 6x^2-15x^2-3x +12 +2" "larr# add like terms

#=5x^3-9x^2-3x +14#