1.

Find:i) 2922 ii) 8972 iii) 7942

Answer»

i) (292)2 = (300 – 8)2

a = 300, b = 8

∴ (300 – 8)2 = (300)2 – 2 × 300 × 8 + (8)2 

= (300 × 300) – 4800 + (8 × 8)

= 90,000 – 4800 + 64

= 90,064 – 4800

= 85,264

ii) (897)2 = (900 – 3)2

= (900)2 – 2 × 900 × 3 + (3)2

= 8,10,000 – 5400 + 9

= 8,10,009 – 5400

= 8,04,609

iii) (794)2 = (800 – 6)2

= (800)2 – 2 × 800 × 6 + (6)2

= 6,40,000 – 9600 + 36

= 6,40,036 – 9600

= 6,30,436



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