Factor the following expression: $55z^{17}+121z^{34}$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Factor the following expression: $55z^{17}+121z^{34}$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
11z^{17}(5+11z^{17})
Factor the following expression: $55z^{17}+121z^{34}$.
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