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Using properties of determinants, prove that |(-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac)(a^2+ab,b^2+ab,-ab)| = (ab+bc+ac)^3.

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Using properties of determinants, prove that |(-bc,b2+bc,c2+bc)(a2+ac,-ac,c2+ac)(a2+ab,b2+ab,-ab)| = (ab+bc+ac)3.

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R1 → aR1,R2 →bR2,R3 → cR3 

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