
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
Expand and simplify the expression $(1 + x^2 + x^4)(1 - x^3 + x^5)$.
A) $1 + x^2 + x^9$  
B) $1 - x^3 + x^2 + x^4 + x^9$  
C) $1 - x^3 + x^4$  
D) $1 + x^2 - x^3 + x^7$  
E) $1 + x^2 + x^4 - x^5 + x^9$

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