
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
15. If \( a = 1.69 \), \( b = 1.73 \), and \( c = 0.48 \), find the value of
$$
\frac{1}{a^{2} - a c - a b + b c} + \frac{2}{b^{2} - a b - b c + a c} + \frac{1}{c^{2} - a c - b c + a b}.
$$

Present the answer in LaTex format: \boxed{Your answer}
user