consider the expression [3(4^2+32÷4-5)]. which quotient must be found to simplify the expression?

Answer 1

To simplify the expression \( 3(4^2 + 32 \div 4 - 5) \), we need to focus on the terms inside the parentheses.

Let's break it down step by step:

1. Evaluate \( 4^2 \): \[ 4^2 = 16 \]

2. Evaluate \( 32 \div 4 \): The quotient that must be found here is \( 32 \div 4 \): \[ 32 \div 4 = 8 \]

3. Now substitute back into the expression: \[ 3(16 + 8 - 5) \]

4. Continue simplifying inside the parentheses: \[ 16 + 8 = 24 \] \[ 24 - 5 = 19 \]

5. Now multiply by 3: \[ 3 \times 19 = 57 \]

So, the quotient that must be found to simplify the expression is \( 32 \div 4 = 8 \).