Answer :

The given identity is (a – b)2 = a2 – 2ab + b2


(i) (49)2


= (50 –1)2


Using the given identity


Here a = 50, b = 1


= 502 – 2× 50 × 1 +12


= 2500 –100 +1


= 2401


(ii) (9.8)2


= (10 – 0.2)2


Using the given identity


Here a = 10, b = 0.2


= 102 – 2× 10 × 0.2 + (0.2)2


= 100 – 4 + 0.04


= 96.04


(iii) (59)2


= (60 – 1)2


Using the given identity


Here a = 60, b = 1


= 602 – 2× 60× 1 + 12


= 3600 – 120 +1


= 3481


(iv) (198)2


= (200 –2)2


Using the given identity


Here a = 200, b = 2


= 2002 – 2× 200 × 2 + 22


= 40000 – 800 +4


= 39204


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