Mathematics
Factorise :
x2 - 2xy + y2 - z2
Factorisation
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Answer
x2 - 2xy + y2 - z2
Using the formula
[∵ (x - y)2 = x2 + y2 - 2xy]
= (x2 - 2xy + y2) - z2
= (x - y)2 - z2
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= ((x - y) - z)((x - y) + z)
= (x - y - z)(x - y + z)
Hence, x2 - 2xy + y2 - z2 = (x - y - z)(x - y + z)
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