Find the determinant of
\[\begin{pmatrix}a&b&b&\cdots&b\\b&a&b&\cdots&b\\b&b&a&\cdots&b\\\vdots&\vdots&\vdots&\quad&\vdots\\b&b&b&\cdots&a\end{pmatrix}_{n\times n}\]

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Book says use the Leibniz formula...but that formula is tough.

\( n a(a^2-b^2)? \)

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