Question

combine like terms.
$6y^3 - 7x^2 + 4 + 4x^2 - 1 - 5y^3 + x^2$

Explanation:

Step1: Group like terms

Group the terms with \(y^3\), \(x^2\), and constants separately:
\((6y^3 - 5y^3)+(-7x^2 + 4x^2 + x^2)+(4 - 1)\)

Step2: Combine like terms for \(y^3\)

For the \(y^3\) terms: \(6y^3 - 5y^3=(6 - 5)y^3 = y^3\)

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

For the \(x^2\) terms: \(-7x^2 + 4x^2 + x^2=(-7 + 4 + 1)x^2=-2x^2\)

Step4: Combine constant terms

For the constant terms: \(4 - 1 = 3\)

Step5: Combine all results

Putting it all together: \(y^3-2x^2 + 3\)

Answer:

\(y^3 - 2x^2 + 3\)