book Maths Puzzle Numerical Ability

If P=x+1/x-1 and Q=x-1/x+1, find P^2+Q^2-PQ.

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please help me with this problem {3a+b+c=7
a+3b-c=13
b=2a-1
Find a vector x with ||x||=2 that has the same direction as the vector defined by the points A(3,2,1) and B(1,-1,0).
The opposite direction?