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Question

(n10)2+(10n)

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Solution

The given expression (n10)2+(10n) can be solved as follows:

(n10)2+(10n)=n2+(10)2(2×n×10)+(10n)((ab)2=a2+b22ab)=n2+10020n+10n=n2+(20nn)+(10+100)(Combiningliketerms)=n221n+110

Hence, (n10)2+(10n)=n221n+110.

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