1.

Evaluate:(92)2 – (91)2

Answer»

Given (92)2 –(91)2

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

Here n = 91 By applying the above property we get,

(92)2 – (91)

= (91+1) + 91

= 92 + 91

= 183



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