
### Instruction: help me answer this question a⁵b⁷ in (a – 2b)¹², think step by step
### Assistant: The general term Tr+1 in the binomial expansion is given by Tr+1 = n C r an-r br. Here, a = a, b = -2b & n =12. Substituting the values, we get Tr+1 = 12Cr a12-r (-2b)r. To find a⁵, we have to equate a12-r =a5 => r = 7. Putting r = 7 in (i), we get T8 = 12C7 a5 (-2b)7 = -101376 a5 b7. Hence, the coefficient of a⁵b⁷ = -101376. , The answer is The coefficient of a⁵b⁷ = -101376
