Question

subtract.
(9w² + 5w + 9) - (w + 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. So, \((9w^{2}+5w + 9)-(w + 2)=9w^{2}+5w + 9 - w-2\).

Step2: Combine like terms

Now, we combine the like terms. For the \(w\)-terms: \(5w - w = 4w\). For the constant terms: \(9-2 = 7\). The \(w^{2}\)-term remains as it is since there are no other \(w^{2}\)-terms to combine with. So, putting it all together, we get \(9w^{2}+4w + 7\).

Answer:

\(9w^{2}+4w + 7\)