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Using properties of determinants prove that: |(a,b,ax + by),(b,c,bx + cy),(ax + by,bx + cy,0)| = (b^2 - ac)(ax^2 + 2bxy + cy^2)

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Using properties of determinants prove that: |(a,b,ax + by),(b,c,bx + cy),(ax + by,bx + cy,0)| = (b2 - ac)(ax2 + 2bxy + cy2)

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We know that

Hence, it is proved.

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