If-the-r-1-th-term-in-the-expansion-of-a-b-1-3-b-a-1-3-21-contains-a-and-b-to-one-and-the-same-power-then-the-value-of-r-is-

Tinku Tara June 14, 2023 None 0 Comments

Question Number 63939 by gunawan last updated on 11/Jul/19

If the (r+1)th term in the expansion of (((a/( (√b))))^(1/3) + (√(b/( (a)^(1/3) ))))^(21) contains a and b to one and the same power, then the value of r is

$$\mathrm{If}\:\:\mathrm{the}\:\left({r}+\mathrm{1}\right)\mathrm{th}\:\mathrm{term}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of} \\ $$$$\left(\sqrt[{\mathrm{3}}]{\frac{{a}}{\:\sqrt{{b}}}}\:+\:\sqrt{\frac{{b}}{\:\sqrt[{\mathrm{3}}]{{a}}}}\right)^{\mathrm{21}} \:\mathrm{contains}\:{a}\:\mathrm{and}\:{b}\:\mathrm{to} \\ $$$$\mathrm{one}\:\mathrm{and}\:\mathrm{the}\:\mathrm{same}\:\mathrm{power},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:{r}\:\mathrm{is} \\ $$

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If-the-r-1-th-term-in-the-expansion-of-a-b-1-3-b-a-1-3-21-contains-a-and-b-to-one-and-the-same-power-then-the-value-of-r-is-

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