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Using properties of determinants prove that: |(x,x + y,x + 2y),(x + 2y,x,x + y),(x + y,x + 2y,x)| = 9y2(x + y)

1 Answer

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Best answer

Considering LHS

On further calculation

= 3 (x + y) (y2 + 2y2)

By addition

= 3(x + y) 3y2

By multiplication

= 9y2(x + y)

= RHS

Hence, it is proved.

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