Q. 4 G

# Let’s find the L.

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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