
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
$(1)$ Simplify first, then find the value: $\left(2x-5\right)\left(2x+5\right)-\left(2x-3\right)^{2}$, where $x=\frac{11}{12}$;<br/>$(2)$ Given $a+b=6$ and $ab=7$, find the values of the following expressions: ①$a^{2}+b^{2}$; ②$\left(a-b\right)^{2$.

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