Question

Which among the following is an unlike term to $2ab$?

• A. $6a\times 5b$
• B. $\frac{49a^{2}b}{14a}$
  
• C. $\frac{64a^2{b}^2}{32b}$
  
• D. $7b\times 8a$

Answer 1

The correct option is C $\frac{64a^2{b}^2}{32b}$


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

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

$\bullet$ (a.) $6a\times 5b:$

After simplification the term would become: $6a\times 5b=(6\times 5)\times (a\times b)$$=30ab,$ $30ab$ is a like term to $2ab$.


$\bullet$ (b.) $\frac{49a^{2}b}{14a}:$

After simplification the term would become:
$\frac{49a^{2}b}{14a}=\frac{7ab}{2},$ $\frac{7ab}{2}$ is a like term to $2ab$.

$\bullet$ (c.) $\frac{64a^2{b}^2}{32b}:$

After simplification the term would become:$\frac{64a^2{b}^2}{32b}=2a^{2}b,$ $2a^{2}b$ is not a like term to $2ab$.

$\bullet$ (d.) $7b\times 8a:$

After simplification the term would become: $7b\times 8a=(7\times 8)\times (a\times b)$ $=56ab,$ $56ab$ is a like term to $2ab$.

We see that the term $\frac{64a^2{b}^2}{32b}$ given in option (c.) is not a like term to $2ab$.

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