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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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