Splitting a fraction into two

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I have the following question: How do they go from step (2) to step (3)? They split a fraction and somehow make $ x^3_n $ into $ \frac{x_n}{3}$ as well and I don't follow ... It's a take on Newtons Method.

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Isn't it just the fact that $$-\left( \dfrac {a-b}c \right )=-\left(\dfrac ac -\dfrac bc\right) =-\dfrac ac +\dfrac bc$$