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

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#### Solution

It is known that,

(x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2zx

(2x – y + z)^{2} = (2x)^{2} + (-y)^{2} + (z)^{2} + 2(2x)(-y) + 2(-y)(z) + 2(z)(2x)

= 4x^{2} + y^{2} + z^{2} - 4xy - 2yz + 4xz

Concept: Algebraic Identities

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