Find the middle term in the expansion of (a/x + bx)12

Question

Find the middle term in the expansion of \( (\dfrac{a}{x} + bx)^{12}\)

Asked by Sakshi | 1 year ago | 63

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Accepted Answer

We have,

where, n = 12 (even number)

So the middle term is (\( \dfrac{n}{2}\) + 1)

= (\( \dfrac{12}{2}\) + 1)

= (6 + 1) = 7. ie., 7^th term

Now,

T₇ = T₆₊₁

RD Sharma Solutions for Class 11 Maths Chapter 18 – Binomial Theorem image - 38

= 924 a⁶b⁶

Hence, the middle term is 924 a⁶b⁶.

Answered by Sakshi | 1 year ago