Simplify (n^2+3)(n^2-5n+6)

You can set up the following way and multiply like you would any multiplication problem. Just remember your rules for multiplying exponents.

Here is how this problem would look:

(n^2 - 5n + 6)
* (n^2 + 3)
------------
3n^2 - 15n + 18
n^4 - 5n^3 + 6n^2
-----------------
n^4 - 5n^3 + 9n^2 - 15n + 18

And there you have it!