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यदि `a^(3)-b^(3)=56` और `a-b=2` है तो `a^(2)+b^(2)` का मान क्या होगा?A. 48B. 20C. 22D. 5 |
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Answer» Correct Answer - B `a^(3)-b^(3)=56` `implies a-b=2` `implies a^(3)-b^(3)-3ab(a-b)=(2)^(3)` (By cubing) `56-3abxx2=8` `-6ab=8-56` `6ab=48` `implies ab=8` `(a-b)=2` `(a-b)^(2)=a^(2)+b^(2)-2ab=4` `=a^(2)+b^(2)=4+2ab` `a^(2)+b^(2)=4+2xx8=20` |
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