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From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, ab, 3a, b.The like terms are
- a)7p, 8q
- b)ab, 3a, b
- c)10pq,-7pq
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, a...
Like terms are those that have the same variable(s) raised to the same power(s).
Here, 10pq and −7pq are like terms because they both contain pq with the same powers of p and q.
Here, 10pq and −7pq are like terms because they both contain pq with the same powers of p and q.
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From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, a...
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From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, a...
There are different ways to approach this question, but one possible method is to use common factors to simplify the expressions and then compare them.
First, we can see that 7p and 8q have no common factors, so we cannot simplify them further.
However, 10pq has a common factor of 2, since both 10 and p are divisible by 2. Therefore, we can write:
10pq = 2 x 5 x p x q
Next, we can compare the simplified expressions:
7p, 8q, 2 x 5 x p x q
We can see that 7p is the smallest expression, since it only has one factor (7) and no q term.
Next, we can compare 8q and 2 x 5 x p x q. We can see that they both have a q term, but the second expression has more factors (2 and 5) and a p term as well. Therefore, 2 x 5 x p x q is the largest expression.
In summary, the expressions in increasing order are:
7p, 8q, 10pq (or 2 x 5 x p x q)
First, we can see that 7p and 8q have no common factors, so we cannot simplify them further.
However, 10pq has a common factor of 2, since both 10 and p are divisible by 2. Therefore, we can write:
10pq = 2 x 5 x p x q
Next, we can compare the simplified expressions:
7p, 8q, 2 x 5 x p x q
We can see that 7p is the smallest expression, since it only has one factor (7) and no q term.
Next, we can compare 8q and 2 x 5 x p x q. We can see that they both have a q term, but the second expression has more factors (2 and 5) and a p term as well. Therefore, 2 x 5 x p x q is the largest expression.
In summary, the expressions in increasing order are:
7p, 8q, 10pq (or 2 x 5 x p x q)
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From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, ab, 3a, b.The like terms area)7p, 8qb)ab, 3a, bc)10pq,-7pqd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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