Answer:
11. last option with x ≠ 1 is the choice
Step-by-step explanation:
x² + 5x +6 = (x + 2) (x + 3)
x² + x - 12 = (x - 3) (x + 4)
x² + x - 2 = (x - 1) (x + 2)
(x² + 5x +6) / (x + 4) * (x² + x - 12) / (x² + x - 2)
(x + 2) (x + 3) / (x + 4) * (x - 3) (x + 4) / (x - 1) (x + 2)
= (x + 3) ( x - 3) / (x - 1)
x - 1 ≠ 0 If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value will be undefined
I think only the last option that has x ≠ 1 is the answer
