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Mathematics

By using standard formulae, expand the following:

(x - 2y - z)2

Expansions

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Answer

(x - 2y - z)2 = [(x) + (-2y) + (-z)]2

= (x)2 + (-2y)2 + (-z)2 + 2 [(x)(-2y) + (-2y)(-z) + (-z)(x)]

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

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

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