Answer :

Factors of x2-y2 + z2-2xz

= x2 + z2-2xz-y2


=(x-z)2-y2


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


Factors of x2-y2-z2 + 2yz


= x2-(y2 + z2-2yz)


= x2-(y-z)2


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


Factors of xy + zx + y2-z2


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


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


LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.


the LCM of x2-y2 + z2-2xz, x2-y2-z2 + 2yz, xy + zx + y2-z2 Is


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


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