# Evaluate using th

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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