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

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

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Solution

It is known that,

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

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

                    = 4x2 + y2 + z2 - 4xy - 2yz + 4xz

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 4.2 | Page 49

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