Question

factorise
(x square - 2xy + y square) - z square

Answer 1

here is the answer to your question

Answer 2

Answer:

(x-y+z)(x-y-z)

Explanation:

Given (x²-2xy+y²) - z²

= (x-y)² - z²

/* By algebraic identity

a²-2ab+b² = (a-b)² */

=[(x-y)+z][(x-y)-z]

/* a²-b² = (a+b)(a-b) */

= (x-y+z)(x-y-z)

Therefore,

(x²-2xy+y²)-z² =(x-y+z)(x-y-z)

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