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यदि `x+y+z=9` हो तो `(x-4)^(3)+(y-2)^(3)+(z-3)^(3)-3(x-4)(y-2)(z-3)` का मान कितना है?A. 6B. 9C. 0D. 1 |
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Answer» Correct Answer - C `(x-4)^(3)+(y-2)^(3)+(z-3)^(3)` `((darr, darr, darr),(a^(3),b^(3),c^(3)-abc))` `-3(x-1)(y-2)(z-3)` `a+b+c=x-4+y-2+z-3` `=x+y+z-9` `=9-9=0` `a+b+c=0` So `(x-4)^(3)+(y-2)^(3)+(z-3)^(3)-3` `(x-4)(y-2)(z-3)=0` |
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