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$x^2-10x+25=(x-5)^2$, $x^2-25=(x+5)(x-5)$, so the GCF is $x-5$ and the terms that are "not common" are $x-5$ and $x+5$ so LCD$=(x-5)(x-5)(x+5)=(x-5)^2(x+5)$
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