Question

State if the given pairs of terms are like or unlike:

$55a{b}^2,55b{a}^2$

Answer 1

Check if the pairs are like or unlike.

Given terms are $55a{b}^2,55b{a}^2$

Here,

$$\begin{gathered} \Rightarrow 55a{b}^2=55\times a\times b\times b \\ \Rightarrow 55b{a}^2=55\times b\times a\times a \end{gathered}$$

Since the terms of algebraic expression which contain the same algebraic factors are called like terms.

Hence, $55a{b}^2,55b{a}^2$ are not having the same algebraic factors. So they are unlike terms.