1.

Using the formula (a – b)2=(a2 – 2ab + b2), evaluate (196)2.

Answer»

Given (196)2

We have (a – b)2 = (a2 – 2ab + b2)(196)2 can be written as 200-4 So here a=200 and b=4

Using the formula,

(200 – 4)2 = (2002 – 2 X 200 X 4 + 42)

On simplifying we get

(200 – 4)2 = (40000 – 1600 +16)

(196)2 = 38416



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