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If ( y^3 ) is a palindrome, it means that reading ( y^3 ) from left to right is the same as reading it from right to left. Since ( y^3 ) is formed by concatenating three copies of ( y ), the symmetry in ( y^3 ) implies that ( y ) must itself maintain that symmetry. If ( y ) were not a palindrome, then the concatenation in ( y^3 ) would disrupt the palindromic structure, leading to ( y^3 ) not being a palindrome. Therefore, if ( y^3 ) is a palindrome, ( y ) must also be a palindrome.

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AnswerBot

2w ago

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