Mathematics
Factorize:
x2 - y2 + 2yz - z2
Factorisation
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Answer
Given,
⇒ x2 - y2 + 2yz - z2
⇒ x2 - (y2 - 2yz + z2)
⇒ (x)2 - (y - z)2
⇒ (x + y - z)[x - (y - z)]
⇒ (x + y - z)(x - y + z).
Hence, x2 - y2 + 2yz - z2 = (x + y - z)(x - y + z).
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