Question

which of the following is a like term 7xy? a)8xy² b)-8xy c)16x²y² d)7x²y​

Answer 1

Answer:

b) -8xy

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Answer 2

Answer: Option (b) which is $-8xy$ is the like term of $7xy$.

Step-by-step explanation:

Concept: In algebraic expressions, the terms are said to be like terms only when the power of the variables present in the expression are same but to be noted that the coefficients of the terms may not be same.

The term that is to be checked with is $7xy$

Step 1: In option a, $8xy^{2}$, the power of $x$ is 1 and the power of $y$ is 2. In  $7xy$, the power of $x$ and $y$ both are 1. So as from the definition mentioned above, they are not like terms.

Step 2: In option b, $-8xy$, the powers of $x$ and $y$ both are 1 and are same with   $7xy$, so they are like terms.

Step 3: In option c, $16x^{2} y^{2}$, powers of $x$ and $y$ both are 2 and are not same as those in $7xy$. So they are unlike terms.

Step 4: In option d, $7x^{2} y$, the powers of $x$ is 2 and the power of $y$ is 1, and hence are not same with $7xy$. So they are unlike terms.

Final ans: The only correct option hence is option b.