Chapter 4.2, Problem 4OE

To determine

To Name: The similar monomials.

  $x^2{y}^2,x^2,y^2,-3x^2{y}^2,-4x^2$

Answer to Problem 4OE

The required similar monomials are: $\begin{array}{l}{x}^2{y}^2,-3x^2{y}^2\\ x^2,-4x^2\end{array}$

Explanation of Solution

Given information:

The monomials: $x^2{y}^2,x^2,y^2,-3x^2{y}^2,-4x^2$

Calculation:

  $x^2{y}^2,x^2,y^2,-3x^2{y}^2,-4x^2$

Two monomials that are exactly alike or are the same except for their numeral coefficients are aid to be similar terms.

Therefore, the similar monomials are:

  $\begin{array}{l}{x}^2{y}^2,-3x^2{y}^2\\ x^2,-4x^2\end{array}$