
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
Simplify the expression $\frac{x^2-4x+3}{x^2-6x+9}\div \frac{x^2-6x+8}{x^2-8x+15}$.
**A)** $\frac{(x-1)(x-5)}{(x-3)(x-4)(x-2)}$
**B)** $\frac{x+1}{x-5}$
**C)** $\frac{x+2}{x-4}$
**D)** $\frac{x-1}{x-2}$
**E)** $\frac{x-2}{x-3}$

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