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Expand the following: (4a – b + 2c)2 - Mathematics

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Question

Expand the following:

(4a – b + 2c)2 

Sum

Solution

(4a – b + 2c)2

= (4a)2 + (–b)2 + (2c)2 + 2(4a)(–b) + 2(–b)(2c) + 2(2c)(4a)   ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]

= 16a2 + b2 + 4c2 – 8ab – 4bc + 16ac

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Chapter 2: Polynomials - Exercise 2.3 [Page 21]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.3 | Q 28. (i) | Page 21

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