Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Expand the following: (2x + 3y + 4z)2 - Mathematics

Sum

Expand the following:

(2x + 3y + 4z)

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Solution

(2x + 3y + 4z)2

(a + b + c)2 ≡ a2 + b2 + c2 + 2ab + 2bc + 2ca

∴ (2x + 3y + 4z)2 = (2x)2 + (3y)2 + (4z)2 + 2(2x)(3y) + 2(3y)(4z) + 2(4z)(2x)

= 4x2 + 9y2 + 16z2 + 12xy + 24yz + 16zx

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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.4 | Q 1. (i) | Page 101
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