1

Problem

Simplify the expression \$ (8xy) + (3yx) \$.

2

Step

Given expression

\$ (8xy) + (3yx) \$

3

Step

Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s)

\$ (8xy) \$ and \$ (3yx) \$

4

Step

Combine Like Terms: Add or subtract the coefficients of like terms while keeping the variables unchanged

\$ (8xy) + (3yx) \$

⇒ (8 + 3)xy

⇒ 11xy

5

Solution

The simplified expression is11xy.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option correctly simplifies the expression by combining the coefficients of the like terms xy and yx

Correct 11xy

8

Choice-B

This option suggests adding the coefficients without considering the fact that xy and yx are like terms that can be combined. It’s not the correct simplification

Wrong 12xy

9

Choice-C

This option doesn’t account for the fact that both terms 8xy and 3yx are positive and thus would result in a sum greater than 5

Wrong 5xy

10

Choice-D

This option suggests subtracting the coefficients, which isn’t appropriate for adding like terms

Wrong -5xy

11

Step

Option

A

12

Sumup

Please Summarize Choices