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Expand following, using suitable identities :- (–2x + 3y + 2z)^2 - Mathematics

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Expand following, using suitable identities :- (–2x + 3y + 2z)2 

 

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Solution

It is known that,

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

(–2x + 3y + 2z)2 = (-2x)2 + (3y)2 + (2z)2 + 2(-2x)(3y) + 2(3y)(2z) + 2(2z)(-2x)

                          = 4x2 + 9y2 + 4z2 - 12xy + 12yz - 8xz

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 4.3 | Page 49

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