91Ó°ÊÓ

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constantterm is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Observe that the terms$8y\text{and}−4y$ have the same variable y with similar exponent over it. So, these are the like terms.

The terms $2\text{and}3.14$have no variable with them, so these are constant terms. And hence, these are the like terms.

Observe that the terms$x^2\text{and}{x}^5$ have the same variable x but with different exponents over it. So, these are not the like terms.

And, the terms$x^2\text{and}5x^2$ have the same variable y with similar exponent over it. So, these are the like terms.

Thus, the terms $x^2\text{and}{x}^5$are not like terms.

Hence, option (C) is correct.