Can you answer this question with work

Question

Find the 6th term in the expansion of (X+2y)^17

Answer 1

Using the Binomial Theorem, first term = ₁₇C₀x¹⁷(2y)⁰

 

                                           second term = ₁₇C₁x¹⁶(2y)¹, etc.

 

sixth term = (₁₇C₅)x¹²(2y)⁵ = 476x¹²(32)y⁵ = 15232x¹²y⁵