exam Maths Puzzle Numerical Ability

When all n teams in a league play every other team twice, a total of N games are played, where
N=n^2-n.
A basketball league has 11 teams and all teams play each other twice. How many games are played?

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exam Other Question
On a monitor, the graphs of two impulses are recorded on the same screen, where 0 degress <=x<=360 degrees. The impulses are given by the following equations:
y=2sin^2 x (the "x" factor/simplify:

12y^5z^4 + 9yz^3

I am really stuck on factoring. Help is really appreciated. Thank you!