Question

Is 4(x + 2y) + 4x equal to 8(x + y)?
Yes or no

Answer 1

Yes

Explanation:

First, simplify the two expressions by using the distributive property:

4(x + 2y) + 4x

Distribute 4 to the terms in the parentheses:

4(x + 2y) + 4x

4x + 8y + 4x

Add like terms:

8x + 8y

Then, do this to the other expression:

8(x + y)

8x + 8y

So, both expressions are equal, because they both simplified to 8x + 8y

Answer 2

Yes

4x + 8y + 4x = 8x + 8y

8x + 8y = 8x + 8y