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Question
Find the 8th term in the expansion of \[\left( x^{3/2} y^{1/2} - x^{1/2} y^{3/2} \right)^{10}\]
Solution
We need to find the 8th term in the given expression.
\[ = - \frac{10 \times 9 \times 8 } {3 \times 2} x^{9/2} y^{3/2} \left( x^{7/2} y^{21/2} \right) \]
\[ = - 120 x^8 y^{12}\]
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