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Find the 8th term in the expansion of (x...

Find the 8th term in the expansion of `(x^(3/2)y^(1/2)-x^(1/2)y^(3/2))^(10)dot`

Text Solution

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Given as `(x^(3/2) y^(1/2) – x^(1/2) y^(3/2))^10`
Lets consider the `8th` term as `T_8`
Therefore, `T_8 = T_7+1 `
`= 10_(C_7) (x^(3/2) y^(1/2))^(10-7) (-x^(1/2) y^(3/2))^7`
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