Question

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

Answer 1

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`