State whether a given pair of terms is of like or unlike terms: $14 x y, 42 y x$ .

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Solution

Verify the given statement:
The term "like terms" in algebra refers to terms that have the same variable raised to the same power.
Only the numerical coefficients can vary in terms that are similar to algebra.
Given pair of terms is $14 x y, 42 y x$
They can be written as $14 x y, 42 x y$ [By commutative property $x y = y x$ ]
Here both terms have same variable i.e. $x y$ raised to the same exponent i.e. $1$ . Thus they are like terms.
Hence the given pair of terms are like terms.

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