Question

find the 10 th term in the binomial expansion (a/b-2b/a^2)^12
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Answer 1

Given in the question an expression

(a/b-2b/a^2)^12

To find the 10th term of above expression we will use following formula

nCr (2x²)^(n-r) (1/x)^(r)

Where n=12

r=10

12C10 (2x²)^2 (1/x)^10

66 (4x^4) (1/x^10)

264 (x^4) (1/x^10)

We will apply power product rule

264 (x^ (4-10))

The 10th term in the binomial expansion of (a/b-2b/a^2)^12 = 264(x^-6)

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