Question

perform the indicated operation.
(5y + 6) - (-3y² - 6y + 6)
(5y + 6) - (-3y² - 6y + 6) = \boxed{} (simplify your answer.)

Explanation:

Step1: Distribute the negative sign

To subtract the polynomial \((-3y^2 - 6y + 6)\), we distribute the negative sign to each term inside the parentheses. This gives us:
\( (5y + 6) + 3y^2 + 6y - 6 \)

Step2: Combine like terms

• For the \(y^2\) term: We have \(3y^2\) (since there are no other \(y^2\) terms).
• For the \(y\) terms: Combine \(5y\) and \(6y\). \(5y + 6y = 11y\).
• For the constant terms: Combine \(6\) and \(-6\). \(6 - 6 = 0\).

Putting it all together, we get:
\(3y^2 + 11y + 0 = 3y^2 + 11y\)

Answer:

\(3y^2 + 11y\)