Distributive property serves no purpose here. There is no variable. The decision you are making is to see 2(1+2) as a set which means you are implying parenthesis where there are none, ie: you are implying complexity where there is none notated. If the author of the equation meant 6 ÷ (2(1+2)) they would (or should) have written it as so. Without implying complexity where none is noted the order of operations only allows for one answer: 9. That being said… it’s a poorly constructed function and that should be the real takeaway here. Math gives people the tools to be very clear of ones intention… better to use those tools and remove all possible ambiguity.

Distributive property serves no purpose here. There is no variable. The decision you are making is to see 2(1+2) as a set which means you are implying parenthesis where there are none, ie: you are implying complexity where there is none notated. If the author of the equation meant 6 ÷ (2(1+2)) they would (or should) have written it as so. Without implying complexity where none is noted the order of operations only allows for one answer: 9. That being said… it’s a poorly constructed function and that should be the real takeaway here. Math gives people the tools to be very clear of ones intention… better to use those tools and remove all possible ambiguity.