Question

add.
$(6v^{3}-3v - 4)+(-5v^{3}+4v^{2}-2v - 6)$

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. This gives us \(6v^{3}-3v - 4-5v^{3}+4v^{2}-2v - 6\).

Step2: Combine like terms for \(v^{3}\)

The terms with \(v^{3}\) are \(6v^{3}\) and \(-5v^{3}\). Combining them, we get \(6v^{3}-5v^{3}=v^{3}\).

Step3: Combine like terms for \(v\)

The terms with \(v\) are \(-3v\) and \(-2v\). Combining them, we have \(-3v-2v=-5v\).

Step4: Combine constant terms

The constant terms are \(-4\) and \(-6\). Combining these, we get \(-4-6 = - 10\).

Step5: Write the combined polynomial

Putting together the combined like terms, we have \(v^{3}+4v^{2}-5v - 10\).

Answer:

\(v^{3}+4v^{2}-5v - 10\)