The problem is to simplify the expression $(2x + y) - (-2y + x)$.

AlgebraExpression SimplificationCombining Like TermsVariables
2025/6/8

1. Problem Description

The problem is to simplify the expression (2x+y)(2y+x)(2x + y) - (-2y + x).

2. Solution Steps

We need to simplify the given expression by removing parentheses and combining like terms.
(2x+y)(2y+x)(2x + y) - (-2y + x)
First, we distribute the negative sign in front of the second parentheses.
2x+y+2yx2x + y + 2y - x
Next, we combine like terms. We combine the xx terms and the yy terms.
(2xx)+(y+2y)(2x - x) + (y + 2y)
1x+3y1x + 3y
x+3yx + 3y

3. Final Answer

x+3yx + 3y

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