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14-02-2024
Mathematics

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simplify (-18)^3+12^3+6^3 without actually calculating the cubes

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nikvist nikvist

14-02-2024

Answer:

Step-by-step explanation:

[tex]6^3+12^3-18^3=(6+12)(6^2-6\cdot 12+12^2)-18^3=18((6+12)^2-3\cdot 6\cdot 12)-18^3=\\=18(18^2-3\cdot 6\cdot 12)-18^3=18^3-3\cdot 6\cdot 12\cdot 18-18^3=-3\cdot 6\cdot 12\cdot 18=-3888\\[/tex]

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