How much greater is #(-13x^2 - 5x - 14) + (-14x^2 - 20x + 8)#?

1 Answer
Jun 19, 2015

answer 1: #=color(red)(x^2 + 15x -22#
answer 2: #= color(red)(-27x^2-25x -6#

Explanation:

There are two ways of interpreting this question

  1. How much greater is #-13x^2 - 5x - 14 # than #-14x^2 - 20x + 8#

Here we need to subtract:
#-13x^2 - 5x - 14 #
#color(red)(+)14x^2 color(red)(+) 20x color(red)(- )8#
#=color(red)(x^2 + 15x -22#

2.The second way is by adding the two as addition #color(green)(+# has been mentioned in the question.

#-13x^2 - 5x - 14 -14x^2 - 20x + 8#
grouping like terms
#= color(red)((-13 x^2 - 14x^2)) + color(blue)((-5x - 20x)) + (-14 +8)#
#= color(red)(-27x^2) color(blue)(-25x) -6#