exam Maths Puzzle Numerical Ability

Factor completely:
12x^3 - 3xy^2

If I am not mistaken in my own math I believe the answer is:

3x(4x-y)(x+y)

Is this correct? Thank you

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exam Other Question

Graph each inequality.

2x - y + 3 is greater than or equal to 0
1. Explain why a^2 + b^2 cannot be factored.

2. Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the procedure that was used that was not trial and error.