Combinatorics 9.2.3 Generating Functions - Binomial and Extended Binomial Theorem

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Hello, Thank you for this amazing video, its a life saver. I'm wondering why we get (-x)^3 and not (-x^3)^3 in the last example. 14:16

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How is 4 choose 5 even possible? Isn't that 4!/(5!*(-1)!)?

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