Question

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

Answer 1

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`