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Answer :
To determine which expression is equivalent to [tex]\( pq \)[/tex], let's break down each option provided:
1. [tex]\( p + q \)[/tex]: This represents the sum of [tex]\( p \)[/tex] and [tex]\( q \)[/tex].
2. [tex]\( p - q \)[/tex]: This represents the difference between [tex]\( p \)[/tex] and [tex]\( q \)[/tex].
3. [tex]\( \frac{p}{q} \)[/tex]: This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex].
4. [tex]\( qp \)[/tex]: This represents the product of [tex]\( q \)[/tex] and [tex]\( p \)[/tex].
Looking at these options, we need to determine which one is the same as [tex]\( pq \)[/tex]. Notice that:
- The product [tex]\( pq \)[/tex] is equivalent to the product [tex]\( qp \)[/tex] because multiplication is commutative (i.e., [tex]\( pq = qp \)[/tex]).
So, the expression that is equivalent to [tex]\( pq \)[/tex] is:
[tex]\[ qp \][/tex]
Among the given options, the correct one is:
[tex]\[ qp \][/tex]
Therefore, the correct answer is:
[tex]\[ qp \][/tex]
1. [tex]\( p + q \)[/tex]: This represents the sum of [tex]\( p \)[/tex] and [tex]\( q \)[/tex].
2. [tex]\( p - q \)[/tex]: This represents the difference between [tex]\( p \)[/tex] and [tex]\( q \)[/tex].
3. [tex]\( \frac{p}{q} \)[/tex]: This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex].
4. [tex]\( qp \)[/tex]: This represents the product of [tex]\( q \)[/tex] and [tex]\( p \)[/tex].
Looking at these options, we need to determine which one is the same as [tex]\( pq \)[/tex]. Notice that:
- The product [tex]\( pq \)[/tex] is equivalent to the product [tex]\( qp \)[/tex] because multiplication is commutative (i.e., [tex]\( pq = qp \)[/tex]).
So, the expression that is equivalent to [tex]\( pq \)[/tex] is:
[tex]\[ qp \][/tex]
Among the given options, the correct one is:
[tex]\[ qp \][/tex]
Therefore, the correct answer is:
[tex]\[ qp \][/tex]
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