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Expand following, using suitable identities :- (x + 2y + 4z)^2 - Mathematics

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Expand following, using suitable identities :- (x + 2y + 4z)

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Solution

It is known that,

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx

(x + 2y + 4z)2 = x2 + (2y)2 + (4z)2 + 2(x)(2y) + 2(2y)(4z) + 2(4z)(x)

                      = x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 4.1 | Page 49

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