
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
Given $A=4a^{2}b-3ab+b^{2}$ and $B=a^{2}-3a^{2}b+3ab-b^{2}$. Calculate the following:
1. $A+B$ and $3A+4B$.
2. When $a=2$ and $b=-\frac{1}{4}$, find the value of $A-B$.

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