1.

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

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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