Example 14 - Chapter 2 Class 9 Polynomials

Last updated at Dec. 13, 2024 by

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Example 14 Write (3a + 4b + 5c)2 in expanded form. (3a + 4b + 5c)2 Using (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx Putting x = 3a, y = 4b, z = 5c = (3a)2 + (4b)2 + (5c)2 + 2(3a)(4b) + 2(4b)(5c) + 2(5c)(3a) = 9a2 + 16b2 + 25c2 + (2 × 3 × 4) (a × b) + (2 × 4 × 5) (b × c) + (2 × 5 × 3) (a × c) = 9a2 + 16b2 + 25c2 + 24ab + 40bc + 30ac

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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