if a and b are both odd integers, which expression must always equal an odd integer?

1 a+b
2 a*b
3 a-b
4 a/b

can u explain me how????

sure, for example take the variables a and b to represent numbers.

a+b = b+a = a
In this case b = 0.

I looks to me like it could be both 2 and 4. If both integers are odd, both multiplying and dividing will give an odd interger as an answer.

For example:

21/7 = 3
7 * 3 = 21

Also it helps to indicate the topic in the "School Subject" heading, so those who are knowledgable in that area will be more likely to respond.

I hope this helps a little more. Thanks for asking.

the answer is 1- a+b

To determine which expression must always equal an odd integer if a and b are both odd integers, we can analyze each option:

1. a + b: The sum of two odd integers is always even. Therefore, this expression cannot guarantee an odd integer.

2. a * b: The product of two odd integers is always odd. So, this expression guarantees an odd integer.

3. a - b: When subtracting two odd integers, the result can be even or odd depending on the specific values of a and b. Therefore, this expression does not always result in an odd integer.

4. a / b: Division does not necessarily result in an integer if a and b are odd. For example, if a = 5 and b = 3, the result of a / b is 1.666..., which is not an integer. Thus, this expression does not always evaluate to an odd integer.

Therefore, the only expression that must always equal an odd integer if a and b are both odd integers is option 2: a * b.