
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 following expressions:

a) \(\left\{3 x^{2}\left(a^{2}+b^{2}\right)-3 a^{2} b^{2}+3\left[x^{2}+(a+b) x+a b\right] \cdot[x(x-a)-b(x-a)]\right\}: x^{2}\)

b) \(\frac{1}{a-b}-\frac{3 a b}{a^{3}-b^{3}}-\frac{b-a}{a^{2}+a b+b^{2}}\)

c) \(\frac{a}{(a-2 b)(a-c)}+\frac{2 b}{(2 b-c)(2 b-a)}+\frac{c}{(c-a)(c-2 b)}\)

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