Let α>0,β>0 be such that α3+β2=4. If the maximum value of the term – InterviewSolution

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1.	Let α>0,β>0 be such that α3+β2=4. If the maximum value of the term independent of x in the binomial expansion of (ax19+βx16)10 is 10k, then k is equal to:
Answer» Let $α > 0, β > 0$ be such that $α^{3} + β^{2} = 4.$ If the maximum value of the term independent of $x$ in the binomial expansion of ${(a x^{\frac{1}{9}} + β x^{\frac{1}{6}})}^{10}$ is $10 k$ , then $k$ is equal to:

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