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Mathematics

Expand (x - 2y + 2)2

Expansions

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Answer

Given,

⇒ (x - 2y + 2)2

Expanding,

⇒ (x - 2y + 2)(x - 2y + 2)

⇒ x2 - 2xy + 2x - 2xy + 4y2 - 4y + 2x - 4y + 4

⇒ x2 + 4y2 + 4 - 4xy - 8y + 4x.

Hence, (x - 2y + 2)2 = x2 + 4y2 + 4 - 4xy - 8y + 4x.

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