Final answer:
An expression for the product of two consecutive positive odd integers is 'n(n+2)', where 'n' represents the first odd integer. For example, if 'n' is 5, then the product is 5 times 7, which equals 35.
Step-by-step explanation:
To write an expression that represents the product of two consecutive positive odd integers, we start by defining a variable for the first odd integer. Let's say 'n' represents the first odd integer, which must be an odd number. The consecutive odd integer is then 'n+2', because adding 2 to an odd number always results in the next odd number. The expression for their product is simply 'n' times '(n+2)', or n(n+2). This expression will always give us the product of two consecutive positive odd integers.
Example:
If 'n' is 5, then the next consecutive positive odd integer is 5 + 2, which is 7. The product is 5 times 7, which equals 35. This result confirms our expression n(n+2) is correct for consecutive positive odd integers where 'n' is 5 and 'n+2' is 7.