exam Maths Puzzle Numerical Ability

Factor completely 12x^3-3xy^2

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can someone please explain this problem to me

Write an equation in slope-intercept form that satisfies each condition.

passes trough (4.) and is parallel to x+2y=4

i wrot convert the equation to expanded form.

1) y=(x+3)^+2

2) y+(x-b/2)^

3)y=2(x-4)^-1

4)y/6=(x-1/2)^