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Simplify the following using the identities:(i) ((58)2 – (42)2)/16(ii) 178 × 178 – 22 × 22 |
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Answer» (i) ((58)2 – (42)2)/16 Using formula (a – b) (a + b) = a2 – b2 We get, ((58)2 – (42)2)/16 = ((58-42) (58+42)/16) = ((16) (100)/16) = 100 (ii) 178 × 178 – 22 × 22 Using formula (a – b) (a + b) = a2 – b2 We get, 178 × 178 – 22 × 22 = (178)2 – (22)2 = (178-22) (178+22) = 200 × 156 = 31200 |
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