1.

Evaluate:(105)2 – (104)2

Answer»

Given (105)2 – (104)2

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

Here n = 104 By applying the above property we get,

(105)2 – (104)

= (104+1) + 104 

= 105 + 104 

= 209



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