Select all that are like terms to [tex]$4x^3 y^2$[/tex].

A. [tex]$x^2 y^3$[/tex]
B. [tex]$4x^3 y^3$[/tex]
C. [tex]$-4x^3 y^2$[/tex]
D. [tex]$-2x^3 y^2$[/tex]
E. [tex]$-4x^2 y^2$[/tex]
F. [tex]$x^3 y^2$[/tex]
G. [tex]$6x^3 y^2$[/tex]

To determine the like terms to $ 4x^3y^2 $, we need to focus on the variable parts of the terms, specifically the exponents of $ x $ and $ y $. Like terms must have the same variables raised to the same powers.

Let's analyze each given term:

1. $ x^2 y^3 $: The exponents are $ x^2 $ and $ y^3 $. These do not match the exponents in $ 4x^3y^2 $, which are $ x^3 $ and $ y^2 $.

2. $ 4x^3y^3 $: The exponents are $ x^3 $ and $ y^3 $. These also do not match with $ x^3 $ and $ y^2 $.

3. $ -4x^3y^2 $: The exponents are $ x^3 $ and $ y^2 $. These match exactly with the exponents in $ 4x^3y^2 $.

4. $ -2x^3y^2 $: The exponents are $ x^3 $ and $ y^2 $. These also match with the exponents in $ 4x^3y^2 $.

5. $ -4x^2y^2 $: The exponents here are $ x^2 $ and $ y^2 $. These do not match with the exponents $ x^3 $ and $ y^2 $.

6. $ x^3y^2 $: The exponents are $ x^3 $ and $ y^2 $. These match exactly with the exponents in $ 4x^3y^2 $.

7. $ 6x^3y^2 $: The exponents are $ x^3 $ and $ y^2 $. These also match with the exponents in $ 4x^3y^2 $.

So the like terms to $ 4x^3y^2 $ are:

- $ -4x^3y^2 $
- $ -2x^3y^2 $
- $ x^3y^2 $
- [tex]$ 6x^3y^2 $[/tex]

Select all that are like terms to [tex]$4x^3 y^2$[/tex].A. [tex]$x^2 y^3$[/tex]B. [tex]$4x^3 y^3$[/tex]C. [tex]$-4x^3 y^2$[/tex]D. [tex]$-2x^3 y^2$[/tex]E. [tex]$-4x^2 y^2$[/tex]F. [tex]$x^3 y^2$[/tex]G. [tex]$6x^3 y^2$[/tex]

Answer :

Other Questions

Select all that are like terms to [tex]$4x^3 y^2$[/tex].

A. [tex]$x^2 y^3$[/tex]
B. [tex]$4x^3 y^3$[/tex]
C. [tex]$-4x^3 y^2$[/tex]
D. [tex]$-2x^3 y^2$[/tex]
E. [tex]$-4x^2 y^2$[/tex]
F. [tex]$x^3 y^2$[/tex]
G. [tex]$6x^3 y^2$[/tex]