Question

Is 3x-2(-3) equivalent to 3x+6?

Answer 1

Yes

Explanation:

1) 3x - 2 (-3)

Method: Grouping

1) Multiply the numbers

3x - 2(-3)

3x + 6

2) Common factor

- (1) Factor by grouping

3x - 2(-3)

3x + 6

- (2) Factor by grouping

3x + 6

3 (x + 2)

___

3x - 2(-3)

3 (x + 2)

2) 3x + 6

Method: Grouping

1) Common factor

3 (x + 6)

3 (x + 2)

As you can see, they are both equivalent expressions.

Answer 2

yes

Explanation:

3x-2(-3) = 3x+6

3x-(-6) = 3x+6

Determining the sign:

3x+6 = 3x+6