
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
If $\frac{a}{2^x-1}+\frac{b}{2^x+3}=\frac{3 \cdot 2^x+1}{(2^x-1)(2^x+3)}$ holds true as an identity for positive rational values of $x$, find the value of $a - b$.
A) -2
B) 0
C) 1
D) -1
E) 2

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