1.

Using the formula (a – b)2=(a2 – 2ab + b2), evaluate (891)2.

Answer»

Given (891)2

We have (a – b)2 = (a2 – 2ab + b2)(891)2 can be written as 900-9 So here a=900 and b=9

Using the formula,

(900 – 9)2 = (9002 – 2 X 900 X 9 + 92)

On simplifying we get

(900 – 9)2 = (810000 – 16200 +81)

(891)2 = 793881



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