A-level Maths · Sequences and series

Binomial expansion coefficient

Find the coefficient of x^k in (a + bx)^n using the general term nCk a^(n−k) (bx)^k.

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Question 1

Find the coefficient of x3x^{3} in the expansion of (5+5x)5(5 + 5x)^{5}.

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

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