This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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It looks like we've covered all the questions visible in the image you sent! We've worked through the binomial expansions, differentiation, finding the 10th term of sequences, and the sum of the first 10 terms.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.