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Simplify [tex]2x + 3y^2 - 2(x - y^2)[/tex].

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GinnyAnswer
To simplify the expression \(2x + 3y^2 - 2(x - y^2)\), we will proceed step-by-step:

1. Begin with the original expression:
[tex]\[ 2x + 3y^2 - 2(x - y^2) \][/tex]

2. Distribute the \(-2\) across the terms inside the parenthesis:
[tex]\[ -2(x - y^2) = -2x + 2y^2 \][/tex]

3. Substitute this back into the original expression:
[tex]\[ 2x + 3y^2 - 2x + 2y^2 \][/tex]

4. Combine like terms. First, combine the \(x\) terms:
[tex]\[ 2x - 2x = 0 \][/tex]

So the expression simplifies to:
[tex]\[ 3y^2 + 2y^2 \][/tex]

5. Next, combine the \(y^2\) terms:
[tex]\[ 3y^2 + 2y^2 = 5y^2 \][/tex]

Therefore, the simplified form of the given expression is:
[tex]\[ 5y^2 \][/tex]
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