Final answer:
The expression p - m ÷ p - n cannot be algebraically simplified to any of the given options without further context or additional values.
Step-by-step explanation:
The question asks us to simplify the expression p − m ÷ p − n. Division and subtraction here indicate we should divide first and then subtract because of the order of operations (PEMDAS/BODMAS). The ÷ symbol stands for division, so the expression can be rewritten as (p - m) ÷ (p - n). There isn't a simple algebraic simplification for this expression as it depends on the values of p, m, and n. If we try to rewrite it using the suggested options a, b, c, and d, none of them correctly represent the original expression when considered algebraically.