Final answer:
To simplify the expression 6(3+4) - 5(1 + 2), we first calculate the sums inside the parentheses, then multiply those sums by the numbers outside and finally subtract the second multiplication result from the first, ending with a simplified result of 27.
Step-by-step explanation:
To simplify 6(3+4) - 5(1 + 2), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
- First, solve the expressions in the parentheses:
3 + 4 = 7
1 + 2 = 3 - Next, multiply each sum by the number outside the parenthesis:
6 * 7 = 42
5 * 3 = 15 - Finally, subtract the second product from the first:
42 - 15 = 27
Therefore, the expression simplifies to 27, which makes the answer (C) 27.