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Show that |(a^2 + 2a,2a + 1,1),(2a + 1,a + 2,1),(3,3,1)| = (a - 1)^3.

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Show that |(a2 + 2a,2a + 1,1),(2a + 1,a + 2,1),(3,3,1)| = (a - 1)3.

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= (a2 + 2a - 3) (a - 1) - (2a - 2) (2a - 2) 

= a3 + 2a2 - 3a - a2 - 2a + 3 - (4a2 - 8a + 4) 

= a3 - 3a2 + 3a - 1 = (a - 1)3 = R.H.S. 

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