To determine which lines of code generate errors, we need to evaluate each given expression for potential issues, particularly focusing on division by zero errors.
The values of the variables are:
- [tex]\( a = 3 \)[/tex]
- [tex]\( b = 2 \)[/tex]
- [tex]\( c = 0 \)[/tex]
Let's analyze each expression step-by-step:
1. Expression:
[tex]\[
\text{result} = a^{b} - \frac{c}{a+c}
\][/tex]
Substituting the values:
[tex]\[
\text{result} = 3^{2} - \frac{0}{3+0} = 9 - \frac{0}{3} = 9 - 0 = 9
\][/tex]
This does not generate an error.
2. Expression:
[tex]\[
\text{result} = a \cdot b + b \cdot c
\][/tex]
Substituting the values:
[tex]\[
\text{result} = 3 \cdot 2 + 2 \cdot 0 = 6 + 0 = 6
\][/tex]
This does not generate an error.
3. Expression:
[tex]\[
\text{result} = a^{b} - \frac{b}{c+b}
\][/tex]
Substituting the values:
[tex]\[
\text{result} = 3^{2} - \frac{2}{0+2} = 9 - \frac{2}{2} = 9 - 1 = 8
\][/tex]
This does not generate an error.
4. Expression:
[tex]\[
\text{result} = a \cdot b - \frac{b}{c}
\][/tex]
Substituting the values:
[tex]\[
\text{result} = 3 \cdot 2 - \frac{2}{0}
\][/tex]
This involves division by zero, so it generates a ZeroDivisionError.
5. Expression:
[tex]\[
\text{result} = a^{b} - \frac{c}{b}
\][/tex]
Substituting the values:
[tex]\[
\text{result} = 3^{2} - \frac{0}{2} = 9 - \frac{0}{2} = 9 - 0 = 9
\][/tex]
This does not generate an error.
Therefore, the lines of code that generate errors are:
- [tex]\( \text{result} = a \cdot b - \frac{b}{c} \)[/tex]
- [tex]\( \text{result} = a^{b} - \frac{c}{a+c} \)[/tex]
So, the correct answer is:
- result [tex]\( = a \cdot b - \frac{b}{c} \)[/tex]
- result [tex]\( = a^{b} - \frac{c}{a+c} \)[/tex]
