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question combine like terms 3y² + 3y² + 2xy

Question

question
combine like terms
3y² + 3y² + 2xy

Explanation:

Step1: Identify like terms

Like terms are terms with the same variables raised to the same powers. Here, \(3y^{2}\) and \(3y^{2}\) are like terms, while \(2xy\) is a different term.

Step2: Combine like terms

To combine \(3y^{2}\) and \(3y^{2}\), we add their coefficients. The coefficient of \(3y^{2}\) is 3, so \(3y^{2}+3y^{2}=(3 + 3)y^{2}=6y^{2}\). The term \(2xy\) remains as it is since there are no like terms for it.

Step3: Write the final expression

After combining like terms, the expression becomes \(6y^{2}+2xy\).

Answer:

\(6y^{2}+2xy\)