Since 3x is a factor of 12x, it is automatically the GCF.
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3X2 - 3X 3X(X - 1) -----------------------factored, so 3X is gfc
9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
The expression can be factored as -12x + 32y -16z = 4(-3x + 8y - 4z) but a slightly improved presentation would be to extract -4 from the original expression. So, -12x + 32y -16z = -4(3x - 8y + 4z)
3x
2(3x^2 + 6x + 2)