Question

Which expressions are equivalent to 2(2x + 4y + x − 2y)?

2(x + 6y) and 2x + 12y
2(x + 2y) and 2x + 4y
2(3x + 2y) and 6x + 4y
2(3x + 6y) and 6x + 12y

Answer 1

2(3x + 2y) and 6x + 4y

Explanation:

Answer 2

Answer: 2(3x + 2y) and 6x + 4y

Explanation:

Hi, to answer this question we have to solve the expression.

2(2x + 4y + x − 2y)

First we have to simplify the expression within the brackets.

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

• 2( 3x + 2y)

We have the first equivalent expression. Now to obtain the second expression we apply distributive property:

2 (3x) + 2 ( 2y)

• 6x + 4y

In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).

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