
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 then evaluate: Given \\(A=2x+y\\) and \\(B=2x-y\\), find the value of the algebraic expression \\((A^{2}-B^{2})(x-2y)\\) where \\(x=-1\\) and \\(y=2\\).

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