Question

F p and q are integers, which expression is not equal to the others? responses a −pq − p q b −pq − p q c p−q p − q d −p−q − p − q

Options:
a) −pq − p q
b) p−q p − q
c) −p−q − p − q
d) None of the above

Answer 1

After evaluating each expression given in the options, all the expressions are indeed equal, as they are just written in different forms but represent the same operations. Hence, the correct choice is (d) None of the above.

Step-by-step explanation:

The question is asking to identify which expression is not equal to the others. We are given four expressions with variables p and q, which are integers. Let's inspect each expression:

Expression a: −pq − ¶− p q

Expression b: −pq − ¶− p q

Expression c: p−q p − q

Expression d: −p−q − p − q

By analyzing the expressions, we can see that expression a and expression b are the same, which is −pq minus the product of −p and q. Expression c presents the variable p minus the variable q, followed by p minus q, which essentially is a repetition of the same operation. Expression d shows −p minus q followed by negative p minus q, and again we have a repetition of the same operation.

Considering all the information, option (d) None of the above is the correct choice as there are no expressions listed that are not equal to the others, given that each expression is written twice in slightly different forms but representing the same mathematical operations.