x^2 - 2xy + y^2 - z^2
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Answer:
We have (x2 - 2xy + y2) = (x - y)2
∴ (x2 - 2xy + y2) - z2 = (x - y)2 - (z)2
= [(x - y) + z] [(x - y) - z]
[Using a2 - b2 = (a + b) (a - b)]
= (x - y + z)(x - y - z)
∴ (x2 - 2xy + y2) - z2 = (x - y + z) (x - y -z)
Step-by-step explanation:
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