Question

How do you find the sum or difference of `(z^2+z)+(z^2-11)`?

Answer 1

`2z^2+z-11`

Explanation:

`(z^2+z)+(z^2-11)`

The hang up here appears to be what to do with the brackets. It can be thought of that each bracket has a `+1` that is being distributed through each of them, and so that will look like:

`color(red)(1)(z^2+z)+color(red)(1)(z^2-11))`

`color(red)(1)(z^2)+color(red)(1)(z)+color(red)(1)(z^2)-color(red)(1)(11)`

`z^2+z+z^2-11`

And we can now combine like terms:

`2z^2+z-11`