Question

simplify the algebraic expression by combining like (or similar) terms.
$-3x + 2y^2 + 2 + 4y^2 - 2x + 5$

Explanation:

Step1: Identify like terms

Like terms for \(x\): \(-3x\) and \(-2x\)
Like terms for \(y^2\): \(2y^2\) and \(4y^2\)
Like terms for constants: \(2\) and \(5\)

Step2: Combine like terms for \(x\)

\(-3x - 2x = (-3 - 2)x = -5x\)

Step3: Combine like terms for \(y^2\)

\(2y^2 + 4y^2 = (2 + 4)y^2 = 6y^2\)

Step4: Combine like terms for constants

\(2 + 5 = 7\)

Step5: Combine all combined terms

Putting it together: \(-5x + 6y^2 + 7\) or \(6y^2 - 5x + 7\)

Answer:

\(6y^2 - 5x + 7\) (or \(-5x + 6y^2 + 7\))