Question

How do you simplify `(5x^{2} - 2x + 5) + ( - 5x^{2} + 2x - 11)`?

Answer 1

`-6`

Explanation:

`(5x^2 - 2x + 5) + (-5x^2 + 2x - 11)`

`5x^2 - 2x + 5 - 5x^2 + 2x - 11`

Combine like terms:
`color(red)(cancel(5x^2)) quadcolor(blue)(cancel(-quad2x)) + 5 color(red)(cancel(- 5x^2)) quadcolor(blue)(cancel(+quad2x)) - 11`

All that is left is `5-11`, which simplifies to `-6`.

Hope this helps!