exam Maths Puzzle Numerical Ability

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exam Other Question

Please explain the steps to finding the GCF of the following: (I have provided the answer, but do not understand the process to get the correct answer.)

(x-1)^3+4(x-1)^2+3(x-1)

Answer:x(x-1)(x+2)
Please help me solve this equation

((2x-a)/(x+a))-((x+3a)/(a-x))=(a^2/(a^2-x^2))+3

possible answers:
x=-8a
x=-4a
x=4a
x=8a