Group Similar Terms: Step Title: Group Similar Terms Reasoning: Group terms with similar variables together to simplify the expression. Calculation: (q^3 + 2q) - (p^3 + 2p)Factor Out Common Terms: Step Title: Factor Out Common Terms Reasoning: Factor out the common terms from each group. Calculation: q(q^2 + 2) - p(p^2 + 2)Factor by Grouping: Step Title: Factor by Grouping Reasoning: Since the expression is grouped and factored, check if further factoring is possible. Calculation: q(q^2 + 2) - p(p^2 + 2) cannot be factored further.

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$q^{3}+2q-p^{3}-2p$

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q^{3}+2q-p^{3}-2p

Group Similar Terms: Step Title: Group Similar Terms $\newline$ Reasoning: Group terms with similar variables together to simplify the expression. $\newline$ Calculation: $(q^3 + 2q) - (p^3 + 2p)$
Factor Out Common Terms: Step Title: Factor Out Common Terms $\newline$ Reasoning: Factor out the common terms from each group. $\newline$ Calculation: $q(q^2 + 2) - p(p^2 + 2)$
Factor by Grouping: Step Title: Factor by Grouping $\newline$ Reasoning: Since the expression is grouped and factored, check if further factoring is possible. $\newline$ Calculation: $q(q^2 + 2) - p(p^2 + 2)$ cannot be factored further.