द्विपद प्रमेय की सहायता से `((2)/(x)-(x)/(2))^(5)` का प्रसार कीजिए ।
द्विपद प्रमेय की सहायता से `((2)/(x)-(x)/(2))^(5)` का प्रसार कीजिए ।




solution: `((2)/(x)-(x)/(2))^(5)=[(2)/(x)+(-(x)/(2))]^(5)`   
 `= ((2)/(x))^(5)+5((2)/(x))^(4).(-(x)/(2))+10((2)/(x))^(3).(-(x)/(2))^(2)+10((2)/(x))^(2)(-(x)/(2))^(3)+5((2)/(x))(-(x)/(2))^(4)+(-(x)/(2))^(5)`   
 `=(32)/(x^(5))-(40)/(x^(3))+(20)/(x)-5x+(5x^(3))/(8)-(x^(5))/(32)`.
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