How d o you combine like terms in #(7u ^ { 2} - 4u + 1) + ( - 5u ^ { 2} + 6u + 2)#?

1 Answer
Dec 31, 2016

#2u^2+2u+3#

Explanation:

First remove the brackets. As there is a plus sign in front of the second one, the signs all stay the same. We have:

#7u^2-4u+1-5u^2+6u+2" "larr# identify the like terms:

#=color(blue)(7u^2-5u^2) color(lime)(-4u+6u)color(red)(+1+2)" "#re-arrange the like terms

#=color(blue)(2u^2) color(lime)(+2u)color(red)(+3)" "larr# simplify like terms