A) 5760
B) 5440
C) 5360
D) 5180
Correct Answer: D
Solution :
\[2({{x}^{2}}+{{y}^{2}})\] \[=(x+{{y}^{2}})+{{(x-y)}^{2}}\] \[={{(3\sqrt{8})}^{2}}+{{(\sqrt{2\,})}^{2}}\] \[=72+2=74\] \[4xy={{(x+y)}^{2}}-{{(x-y)}^{2}}\] \[={{(3\sqrt{8})}^{2}}-{{(\sqrt{2})}^{2}}=72-2=70\] \[\therefore \] \[8xy({{x}^{2}}+{{y}^{2}})=4xy.2({{x}^{2}}+{{y}^{2}})\] \[=70\times 74=5180\]You need to login to perform this action.
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