Vector Simplification Question

I'm trying to simplify the following expression:

(4u + 3v) ⋅ (4u − 2v) − ll 3u − 4v ll²

And I'm unsure how to proceed.

 

Is the inner product equivalent to the dot product? The only relevant formula I know is the that of the dot product, but I am unsure of how to apply order of operations when dealing with vectors.

 

Thanks folks, I solved it. The process included taking the inside terms of the entire first term and dotting them with the entire second term as follows:
(4u + 3v) ⋅ (4u − 2v)
[4u ⋅ (4u − 2v)] + [3v ⋅ (4u − 2v)]
16u² - 8u⋅v + 12u⋅v - 6v²

and for the second part, ll 3u − 4v ll² is equivalent to (3u - 4v)⋅(3u - 4v), and it's the same process as above. Then, just combine like terms.