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Example 1 Find the square of the following numbers without actual multiplication. (ii) 42 We know that We know that 42 = 40 + 2 Now, 422 = (40 + 2)2 = 402 + 22 + 2 × 40 × 2 = 1600 + 4 + 160 = 1764

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo