Evaluate the expression for j = 0 and k = 18. Simplify your answer.

Question

k
j2k − j + k
=

Answer 1

To evaluate the expression

\[ \frac{k}{j^2 k - j + k} \]

for \( j = 0 \) and \( k = 18 \), we start by substituting the given values into the expression.

1. Substitute \( j = 0 \) and \( k = 18 \):

\[ \frac{18}{0^2 \cdot 18 - 0 + 18} \]

2. Simplify the denominator:

\[ 0^2 \cdot 18 = 0 \] \[

• 0 = 0 \] \[ 18 \]

Thus, the denominator simplifies to:

\[ 0 - 0 + 18 = 18 \]

3. Now substitute back into the fraction:

\[ \frac{18}{18} \]

4. Simplify the expression:

\[ \frac{18}{18} = 1 \]

Therefore, the final simplified answer is:

\[ \boxed{1} \]