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

The given expression is

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

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

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

Now, let’s combine like terms:

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

Simplify the expression

11x + 12y - 3

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

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

11x - 12y + 3

It accurately done the calculation by using the distributive property

11x + 12y - 3

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

-11x + 12y -3

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

11x - 12y - 3

Option

B

Can you summarize what you’ve understood in the above steps?