Question

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

Explanation:

Step1: Group like terms

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

Step2: Combine \(x^3\) terms

For the \(x^3\) terms: \(-5x^3+6x^3 = (-5 + 6)x^3=1x^3 = x^3\)

Step3: Combine \(y\) terms

For the \(y\) terms: \(-3y-4y + 5y=(-3-4 + 5)y=(-2)y=-2y\)

Step4: Combine constant terms

For the constant terms: \(6 + 2=8\)

Step5: Combine all results

Putting it all together: \(x^3-2y + 8\)

Answer:

\(x^3-2y + 8\)