Question

the movement of the progress bar may be uneven because questions can be worth more or less (including subtract. ((6a^2 - 7b + 3c^3 + 4) - (9a^2 + 6b - 3c^3 + 4)) (\bigcirc) (-3a^2 - b) (\bigcirc) (-3a^2 - 13b + 6c^3) (\bigcirc) (15a^2 - b + 8) (\bigcirc) (3a^2 + 13b - 6c^3))

Explanation:

Step 1: Distribute the negative sign

We need to distribute the negative sign to each term in the second polynomial. So we have:
\(6a^{2}-7b + 3c^{3}+4-9a^{2}-6b + 3c^{3}-4\)

Step 2: Combine like terms for \(a^{2}\) terms

The terms with \(a^{2}\) are \(6a^{2}\) and \(-9a^{2}\). Combining them:
\(6a^{2}-9a^{2}=-3a^{2}\)

Step 3: Combine like terms for \(b\) terms

The terms with \(b\) are \(-7b\) and \(-6b\). Combining them:
\(-7b-6b=-13b\)

Step 4: Combine like terms for \(c^{3}\) terms

The terms with \(c^{3}\) are \(3c^{3}\) and \(3c^{3}\). Combining them:
\(3c^{3}+3c^{3}=6c^{3}\)

Step 5: Combine constant terms

The constant terms are \(4\) and \(-4\). Combining them:
\(4 - 4=0\)

Step 6: Combine all the results

Putting together the combined like terms, we get:
\(-3a^{2}-13b + 6c^{3}\)

Answer:

\(-3a^{2}-13b + 6c^{3}\) (which corresponds to the option \(-3a^{2}-13b + 6c^{3}\))