1

Problem

Simplify the following expression using the distributive property:
2(x + y) − 3(x − 2y + 1) + 4(3x + y).

2

Step

The given expression is

2(x + y) - 3(x - 2y + 1) + 4(3x + y)

3

Hint

Using the distributive property, let’s distribute each coefficient to the terms inside the parentheses:

\$2x + 2y - 3x + 6y - 3 + 12x + 4y\$

4

Step

Now, let’s combine like terms:

\$(2x - 3x + 12x) + (2y + 6y +4y ) -3\$

5

Step

Simplify the equation

11x + 12y - 3

6

Solution

Therefore, the simplified expression using the distributive property is 11x + 12y - 3.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

11x - 12y + 3 is incorrect because the coefficient of y in the simplified expression is positive, not negative

Wrong 11x - 12y + 3

9

Choice-B

It accurately done the calculation by using the distributive property

Correct 11x + 12y - 3

10

Choice-C

This is incorrect because it shows a negative sign before the 11x term

Wrong - 11x + 12y -3

11

Choice-D

11x - 12y - 3, is incorrect because the sign for the term involving y is incorrect

Wrong 11x - 12y - 3

12

Step

Option

B

13

Sumup

Please Summarize Choices