Question

expand.
your answer should be a polynomial in standard form.
(9 + m)(-m + 9) =

Explanation:

Step1: Recognize the form (a + b)(a - b)

Notice that \((9 + m)(-m + 9)\) can be rewritten as \((9 + m)(9 - m)\), which is in the form of \((a + b)(a - b)\) where \(a = 9\) and \(b = m\).

Step2: Apply the difference of squares formula

The difference of squares formula is \((a + b)(a - b)=a^{2}-b^{2}\). Substituting \(a = 9\) and \(b = m\) into the formula, we get \(9^{2}-m^{2}\).

Step3: Calculate \(9^{2}\)

\(9^{2}=81\), so the expression becomes \(81 - m^{2}\). We can also write it in standard form as \(-m^{2}+81\).

Answer:

\(-m^{2}+81\)