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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 |
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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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