1. Why do you think the rule is called the difference of two squares?
2. Does it matter whether the product is (a+b) (a-b) or (a-b) (a+b)? Explain .

Below.

Step-by-step explanation:

1.  a^2 - b^2 = (a - b)(a + b)

a^2 and b^2 are 2 perfect squares and a^2 - b^2 are their difference.

2. The order of multiplication does not matter because in algebra  multiplication is commutative ( meaning any order gives the same result).

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.