Question

Complete the Tables

Pair	Factors	Factors: Same/Different	Like/Unlike terms
$$\begin{gathered} 8\mathrm{x} \\ 15\mathrm{y} \end{gathered}$$	$$\begin{gathered} 8,\mathrm{x} \\ 15,\mathrm{y} \end{gathered}$$	Different	Unlike
$$\begin{gathered} -4\mathrm{ab} \\ 7\mathrm{ba} \end{gathered}$$
$$\begin{gathered} 5{\mathrm{x}}^2\mathrm{y} \\ 9{\mathrm{xy}}^2 \end{gathered}$$

Answer 1

We know that those terms which have the same variables are called like terms otherwise unlike terms.

Pair	Factors	Factors: Same/Different	Like/Unlike terms
$8\mathrm{x};15\mathrm{y}$	$$\begin{gathered} \mathrm{Factors}\mathrm{of}8\mathrm{x}=8,\mathrm{x} \\ \mathrm{Factors}\mathrm{of}15\mathrm{y}=15,\mathrm{y} \end{gathered}$$	Different	Unlike
$-4\mathrm{ab};7\mathrm{ba}$	$$\begin{gathered} \mathrm{Factors}\mathrm{of}-4\mathrm{ab}=-1,4,\mathrm{a},\mathrm{b} \\ \mathrm{Factors}\mathrm{of}7\mathrm{ba}=7,\mathrm{b},\mathrm{a} \end{gathered}$$	Different	like
$5{\mathrm{x}}^2\mathrm{y};9{\mathrm{xy}}^2$	$$\begin{gathered} Factorsof5x^{2}y=5,\mathrm{x},\mathrm{x},\mathrm{y} \\ Factorsof9x{y}^2=9,\mathrm{x},\mathrm{y},\mathrm{y} \end{gathered}$$	Different	Unlike

Hence, the given table pair $-4\mathrm{ab};7\mathrm{ba}$ is only like terms.