book Maths Puzzle Numerical Ability

x^3-27=(x-3)(x-3)(x-3)
Did I do the problem right? He wanted me to factor completely. If it is wrong, could you show me how to do the problem? Thank you.

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book Other Question

I get confused on how to diversify between putting a negative and positive on problems such as in multiplying, dividing, adding, and subtracting. How do i keep them straight? Is there some kind of way i can keep them apart or at least remember them?? Which system should be used for:

5x-y=1
10x-2y=2