To simplify the equation \( 9(7-3)(8 + 5) \), we need to follow the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
1. Start by simplifying the expressions within the parentheses:
- \( 7 - 3 = 4 \)
- \( 8 + 5 = 13 \)
2. Replace the simplified expressions back into the original equation:
\( 9 \times 4 \times 13 \)
3. Perform the multiplications:
- \( 9 \times 4 = 36 \)
- \( 36 \times 13 = 468 \)
Therefore, the simplified form of the equation \( 9(7-3)(8 + 5) \) is \( 468 \).
