1.

Evaluate:(141)2 – (140)2

Answer»

Given (141)2 – (140)2

According to the property 8 i.e. for every natural number n, we have [(n+1)2-n2] = [(n+1) + n]

Here n = 140 By applying the above property we get,

(141)2 – (140)

= (140+1) + 140 

= 141 + 140 

= 281



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