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Question

Which among the following pairs of terms have different literal factors?

A
10pq, 20pq
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B
256ab, 562ba
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C
81mn, 96m2n2
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D
786rs, 144rs
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Solution

The correct option is C 81mn, 96m2n2
Literal Factor:––––––––––––––––
Literal factor is a part of an algebraic term without the constant.
For example, 2x2y–––– and 5y have literal factors as x2y–– and y respectively.

Now, let's take a look at each pair of terms one-by-one.

(a.) 10pq, 20pq:–––––––––––
Both the terms have the same literal factor as pq.

(b.) 256ab, 562ba:––––––––––––––
Both the terms have the same literal factor as ab.
(ab=ba; Multiplication is commutative)

(c.) 81mn, 96m2n2:––––––––––––––––
Both the terms have different literal factors. 81mn–––– has literal factor as mn–– and 96m2n2–––––– has literal factor as m2n2––––.

(d.) 786rs, 144rs:––––––––––––––
Both the terms have the same literal factor as rs.

Therefore, option (c.) is the correct answer.

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