Coefficent in a infinite power series

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pac1337
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How do I find a coefficient of x^9 in a power series like this:
Screenshot 2021-06-03 174217.png
 
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For (a) 9= 0+ 9= 1+8= 2+ 7= 3+ 6= 4+ 5= 5+ 4= 6+ 3= 7+ 2= 8+ 1= 9+ 0.
There are 10 products that give $x^9$ so the coefficient is 10.
 

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