Question

question
combine like terms.
(-x + 2y^2 + 2xy + 3y^2)

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable(s) raised to the same power. Here, \(2y^2\) and \(3y^2\) are like terms (both have \(y^2\)). The terms \(-x\) and \(2xy\) have different variable combinations, so they remain as is.

Step2: Combine like terms

For the \(y^2\) terms: \(2y^2 + 3y^2 = (2 + 3)y^2 = 5y^2\). The other terms \(-x\) and \(2xy\) don't combine with others. So the expression becomes \(-x + 5y^2 + 2xy\) (we can also rearrange for standard form: \(5y^2 + 2xy - x\)).

Answer:

\(5y^2 + 2xy - x\) (or \(-x + 5y^2 + 2xy\))