book Maths Puzzle Numerical Ability

How do we solve (2u+4)(u+1)

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book Other Question

Find two negative numbers such that the square of their sum is 20 more than the square of their difference, and the difference of their squares is 24.

I have an upcoming mathletes compitition, and this problem has me stumpted.
How can you tell if a polynomial of the form x²+bx+c is prime?

How can you tell if a polynomial of the form ax²+bx+c (where a is a positive number not equal to 1) is prime?