Question

combine like terms.
$-y^{3} + 4 + y^{3} + 7x^{2} + 3 - 5y^{3} + 3$

Explanation:

Step1: Identify like terms

Like terms for \(y^3\): \(-y^3\), \(y^3\), \(-5y^3\); like terms for constants: \(4\), \(3\), \(3\); and \(7x^2\) is alone.

Step2: Combine \(y^3\) terms

\(-y^3 + y^3 - 5y^3 = (-1 + 1 - 5)y^3 = -5y^3\)

Step3: Combine constant terms

\(4 + 3 + 3 = 10\)

Step4: Combine all terms

Put together: \(-5y^3 + 7x^2 + 10\) (or \(7x^2 - 5y^3 + 10\))

Answer:

\(7x^2 - 5y^3 + 10\) (or \(-5y^3 + 7x^2 + 10\))