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Factorise. (x^2 –2xy+y^2 )–z^2 ?????????????????????

Factorise.
 (x^2 –2xy+y^2 )–z^2 ?????????????????????

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5608 Points
2 months ago
Dear Student

= (x–y)^2–z^2
Using Identity: (x-y)^2= x^2-2xy+y^2
= {(x–y)–z}{(x–y)+z}
= (x–y–z)(x–y+z)
Using Identity: x^2-y^2= (x+y)(x-y)

Thanks

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