
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 and calculate the following: 
1. $(2x^2y - 4xy^2) - (-3xy^2 + x^2y)$, where $x=-1$, $y=2$.
2. Let $A=x^2 - xy + y^2$ and $B=-x^2 + 2xy + y^2$, find the value of $A+B$ when $x=2010$, $y=-1$.

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