Question

How much greater is `(-13x^2 - 13x - 10) + (19x^2 - 19x - 5)`?

Answer 1

Answer 1: `=color(red)(-32x^2 + 6x-5`
Answer 2:`= color(red)(6x^2) color(blue)(-32x) -15`

Explanation:

There are two ways of interpreting this question

1. How much greater is `-13x^2 - 13x - 10` than `19x^2 - 19x -5`

Here we need to subtract:
`-13x^2 - 13x - 10`
`color(red)(-)19x^2 color(red)(+) 19x color(red)(+)5`
`=color(red)(-32x^2 + 6x-5`

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

`-13x^2 - 13x - 10 + 19x^2 - 19x -5`

grouping like terms
`= color(red)((-13 x^2 + 19x^2)) + color(blue)((-13x - 19x)) + (-10 - 5)`
`= color(red)(6x^2) color(blue)(-32x) -15`