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

Question

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

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable(s) raised to the same power. Here, \(3y\) and \(y\) are like terms (both have \(y\) to the first power), \(2xy\) has \(x\) and \(y\), and \(2y^2\) has \(y^2\).

Step2: Combine like terms

Combine \(3y\) and \(y\): \(3y + y = (3 + 1)y = 4y\). The other terms (\(2xy\) and \(2y^2\)) have no like terms to combine with. So the expression becomes \(2xy + 4y + 2y^2\).

Answer:

\(2xy + 4y + 2y^2\)