1.

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

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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