How do you multiply #(5n^2+3n-8)(4n^2-6n-2)#?
Multiply each term in the first bracket by each term in the second, then collect like terms.
The key is to ensure that each element in the first bracket is multiplied by each element in the second. There are a number of ways to do that, but here is one:
can be rearranged as follows:
Now we can multiply through:
Now collect like terms:
That is the solution.