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Q. $ x^2-y^2+2 y z-z^2= $

Polynomials and Square Roots of Algebraic Expressions

Solution:

$x^2-y^2+2 y z-z^2 $
$ =-(y^2-2 y z+z^2)+x^2 $
$ =x^2-(y-z)^2 $
$=(x+z+y)(x-z-y)$