1.

Evaluate:(75)2 –(74)2

Answer»

Given (75)2 – (74)2

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

Here n = 74 By applying the above property we get,

(75)2 – (74)2 

= (74+1) + 74 

= 75 + 74 

= 149


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