The coefficient of the middle term in the binomial expansion in powers of x of ( 1 + αx ) 4 and of ( 1 − αx ) 6 is the same if α equals

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Coefficient of Middle term in ( 1 + α x ) 4 = t 3 ​ = 4 C 2 ​ ⋅ α 2 Coefficient of Middle term in ( 1 − α x ) 6 = t 4 ​ = 6 C 3 ​ ( − α ) 3 4 C 2 ​ α 2 = − 6 C 3 ​ ⋅ α 3 ⇒ − 6 = 20 α ⇒ α = 10 − 3 ​

Mathematics - Binomial Theorem Question with Solution | TestHub

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