Question

subtract.
$(6r^{3} + 2r^{2} + 4r + 3) - (-5r^{3} - r^{2})$

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
\((6r^3 + 2r^2 + 4r + 3) + 5r^3 + r^2\)

Step2: Combine like terms

• For \(r^3\) terms: \(6r^3 + 5r^3 = 11r^3\)
• For \(r^2\) terms: \(2r^2 + r^2 = 3r^2\)
• The \(r\) term (\(4r\)) and constant term (\(3\)) remain unchanged.

Combining these, we get: \(11r^3 + 3r^2 + 4r + 3\)

Answer:

\(11r^3 + 3r^2 + 4r + 3\)