
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 piece of paper with side length $a+b$ can be cut in the following two ways. According to the principle of "subtracting equals yields equal differences", the relationship between the areas of the $\mathbf{3}$ shaded squares can be expressed using $a, b, c$ as $\qquad$

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