Coordinate Geometry

Question

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

Answer

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

(- 2x + 3y + 2 z)2 = {(- 2x) + 3y + 2z)}2
= (- 2x)2 + (3y)2 + (2z)2 + 2(- 2x)(3y) + 2(3y)(2z) + 2(2z)(-2x)
| Using Identity V
= 4x2 + 9y2 + 4z- 12xy + 12yz - 8zx

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