Question

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 \( 32 \div 4 = 8 \).