Which options are equivalent to the expressions: a) 73 - 14 + 1 and b) 73 - 14 - 1? The options are: a) 73 - (14 + 1), b) 73 - (14 - 1), c) 73 + (-14 + 1), d) 73 + (-14 - 1).

• For expression a): $$73 - 14 + 1 = 59 + 1 = 60$$
• For expression b): $$73 - 14 - 1 = 59 - 1 = 58$$

• For option (a) $73 - (14 + 1)$: $$73 - (15) = 58$$
• For option (b) $73 - (14 - 1)$: $$73 - (13) = 60$$
• For option (c) $73 + (-14 + 1)$: $$73 + (-13) = 73 - 13 = 60$$
• For option (d) $73 + (-14 - 1)$: $$73 + (-15) = 73 - 15 = 58$$

• Expression a) $73 - 14 + 1 = 60$. This is equal to options (b) and (c).
• Expression b) $73 - 14 - 1 = 58$. This is equal to options (a) and (d).

The expressions are:

• For $73 - 14 + 1$: $\boxed{\text{Options (b) } 73 - (14 - 1) \text{ and (c) } 73 + (-14 + 1)}$
• For $73 - 14 - 1$: $\boxed{\text{Options (a) } 73 - (14 + 1) \text{ and (d) } 73 + (-14 - 1)}$