Question

Which among the following options contains all unlike terms?

• A. $9p,18q,27p$
• B. $36a,57b,18a^{2}b$
• C. $23x,46xy,39x$
• D. $13m,18n,25n$

Answer 1

The correct option is B $36a,57b,18a^{2}b$

$\underset{–}{\text{Unlike Terms:}}$
Unlike terms are two or more terms that are not like, i.e. they do not have the same variables or powers.

$\underset{–}{\text{Note:}}$
$\bullet$ The order of the variables does not matter unless there is a power.

Let's take a look at each option separately.

In option (a.), there are two like terms as $9p$ and $27p$. These two like terms are unlike to $18q$.

In option (b.), there are three unlike terms as $36a,57b$ and $18a^{2}b$.

In option (c.), there are two like terms as $23x$ and $39x$. These two like terms are unlike to $46xy$.

In option (d.), there are two like terms as $18n$ and $25n$. These two like terms are unlike to $13m$.

But we need to find the option which contains all unlike terms in it.

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