Coordinate Geometry

Question

Expand each of the following using suitable identities:
(- 2x + 3y + 2z)2

Answer

(2x - y + z)2

(2x - y + z)2 = {2x + (- y) + z}2
= (2x)2 + (- y)2 + (z)2 + 2(2x)(- y) + 2(- y)(z) + 2(z)(2x)
| Using Identity V
= 4x2 + y2 + z2- 4xy -2yz + 4 zx

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