How much greater is (11x^2 + 5x + 6) + (18x^2 + 17x + 17)?

1 Answer
Jun 19, 2015

answer 1: = color(red)(-7x^2 - 12x -11
answer 2=color(red)(29x^2) + color(blue)(22x) + 23

Explanation:

There are two interpretations for the above question:

  • How much greater is (11x^2 + 5x + 6) than (18x^2 + 17x + 17)

Here we need to subtract:
11x^2 + 5x + 6
color(red)(-)18x^2 color(red)(-) 17x color(red)(- )17
= color(red)(-7x^2 - 12x -11

  • The second interpretation is to perform addition as the addition sign has been used in the question.

Grouping like terms:
=color(red)((11x^2 + 18x^2)) + color(blue)((5x + 17x)) + (6 + 17)
=color(red)(29x^2) + color(blue)(22x) + 23