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| 1. | Find the difference in the given questions.(i) (125 × 75) – (126 × 74) (ii) (124 × 76) – (126 × 74) (iii) (224 × 176) – (226 × 174) (iv) (10.3 × 9.7) – (10.7 × 9.3) (v) (11.3 × 10.7) – (11.7 × 11.3) | 
| Answer» (i) (125 × 75) – (126 × 74) (100 + 25) (100 – 25) – (100 + 26) (100 – 26) (1002 – 252) – (1002 – 262) = 262 – 252 = (26 + 25) (26 – 25) = 51 (ii) (124 × 76) – (126 × 74) (100 + 24) (100 – 24) – (100 + 26) (100 – 26) (1002 – 242) – (1002 – 26)2 = 262 – 242 = (26 + 24) (26 – 24) = 50 × 2 = 100 (iii) (224 × 176) – (226 × 174) (200 + 24) (200 – 24) – (200 + 26) (200 – 26) (2002 – 242) – (2002 – 262) = 262 – 242 = (26 + 24) (26 – 24) = 50 × 2 = 100 (iv) (10.3 × 9.7) – (10.7 × 9.3) (10 + 0.3) (10 – 0.3) – (10 + 0.7) (10 – 0.7) (102 – 0.32) – (102 – 0.72). = 0.72 – 0.32 = (0.7 + 0.3) (0.7 – 0.3) = 1 × 4 = 4 (v) (11.3 × 10.7) – (11.7 × 11.3) (11 + 0.3) (11 – 0.3) – (11 + 0.7) (11 – 0.7) (112 – 0.32) – (112 – 0.72) = 0.72 – 0.32 = (0.7 + 0.3) (0.7 – 0.3) = 1 × 0.4 = 0.4 | |