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Mathematics

Factorize:

x2 - y2 - 4xz + 4z2

Factorisation

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Answer

Given,

⇒ x2 - y2 - 4xz + 4z2

⇒ x2 - 4xz + 4z2 - y2

⇒ (x - 2z)2 - (y)2

⇒ (x - 2z + y)(x - 2z - y).

Hence, x2 - y2 - 4xz + 4z2 = (x - 2z + y)(x - 2z - y).

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