
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
A square paper with a side length of $a+b$ can be cut in the following two ways. According to the principle of "the difference of equal amounts subtracted from equal amounts remains equal," the relationship between the areas of the three smaller shaded squares can be expressed using $a$, $b$, and $c$ as $\qquad$ .

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