
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
How does the expression

$$
2\left(a^{2} b^{2}+a^{2} c^{2}+a^{2} d^{2}+b^{2} c^{2}+b^{2} d^{2}+c^{2} d^{2}\right)-\left(a^{4}+b^{4}+c^{4}+d^{4}\right)+8 a b c d
$$

evaluate if $d=a+b+c$? - Transform the expression into a product.

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