exam Maths Puzzle Numerical Ability

workbook problem i got very partial credit on... please explain/show how to solve...

(4a+1/a^2-4) - (3a-a+7/a^2-4)

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exam Other Question

How do I do this?
Find all positive values for k for which each of the following can be factored.
x^2 + x - k If the average (arithmetic mean) of x and y is k, which of the following is the average of x, y, and z?

(A) 2k + z/3
(B) 2k +z/2
(C) k+z/3
(D) k+z/2
(E) 2(k+z)/3