Subjects algebra

Expand Polynomial 2Aa782

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Expand Polynomial 2Aa782


1. **State the problem:** Simplify the expression $(-13 - 2z)(-8 + 2z)$. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in the second parenthesis. 3. **Calculate each product:** - First: $-13 \times -8 = 104$ - Outer: $-13 \times 2z = -26z$ - Inner: $-2z \times -8 = 16z$ - Last: $-2z \times 2z = -4z^2$ 4. **Combine like terms:** $104 - 26z + 16z - 4z^2 = 104 - 10z - 4z^2$ 5. **Final simplified expression:** $$104 - 10z - 4z^2$$ This is the expanded and simplified form of the given expression.