9. Prove that if a number is doubled then its cube is 8 times the cube of the given number.
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Step-by-step explanation:
b³ = (2a)³ = 2a × 2a × 2a = 2×2×2 × a×a×a = 2³×a³ = 8a³, which is 8 times the cube of the original number.
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