Question

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

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable and exponent. Here, \( y^2 \) and \( 3y^2 \) are like terms. \( -x^2 \) and \( y \) have no like terms in the expression.

Step2: Combine like terms

For the \( y^2 \) terms: \( y^2 + 3y^2 = (1 + 3)y^2 = 4y^2 \). The other terms \( -x^2 \) and \( y \) remain as they are. So the combined expression is \( 4y^2 - x^2 + y \).

Answer:

\( 4y^2 - x^2 + y \)