1.

यदि `x=332, y=333` तथा `z=335,` तब `x^(3)+y^(3)+z^(3)-3xyz` का मान ज्ञात करें?A. 7000B. 8000C. 9000D. 10000

Answer» Correct Answer - A
Here `x=332, y=333,z=335`
Find `x^(3)+y^(3)+z^(3)-3xyz=`
`1/2(x+y+z)`
`[(x-y)^(2)+(y-z)^(2)+(z-x)]`
`=((332+333+335)/2)[(333-332)^(2)+(335-333)^(2)`
`+(335-332)^(2)]`
`=1000/2(1^(2)+2^(2)+3^(2))=1000/2(14)=7000`


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