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Expand.
Your answer should be a polynomial in standard form.

(9+m)(-m+9)=

Expand. $\newline$ Your answer should be a polynomial in standard form. $\newline$ $(9+m)(-m+9)=$

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Multiply two binomials

Full solution

Q. Expand.

\newline

Your answer should be a polynomial in standard form.

\newline

(9+m)(-m+9)=

Apply Distributive Property: First, we use the distributive property (FOIL method) to expand the expression. So, we multiply each term in the first parenthesis by each term in the second parenthesis.
Calculate Products: Multiply $9$ by $-m$ to get $-9m$ .
Combine Like Terms: Multiply $9$ by $9$ to get $81$ .
Simplify Final Expression: Multiply $m$ by $-m$ to get $-m^2$ .
Simplify Final Expression: Multiply $m$ by $-m$ to get $-m^2$ . Multiply $m$ by $9$ to get $9m$ .
Simplify Final Expression: Multiply $m$ by $-m$ to get $-m^2$ . Multiply $m$ by $9$ to get $9m$ . Now, we add all the products together: $-m^2 - 9m + 9m + 81$ .
Simplify Final Expression: Multiply $m$ by $-m$ to get $-m^2$ . Multiply $m$ by $9$ to get $9m$ . Now, we add all the products together: $-m^2 - 9m + 9m + 81$ . Notice that $-9m$ and $9m$ cancel each other out, so we're left with $-m^2 + 81$ .

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