Using properties of determinants, prove that $∣ ∣ - a^{2} b a c a a b - b^{2} c b a c b c - c^{2} ∣ ∣ = 4 a^{2} b^{2} c^{2}$

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Using properties of determinants, prove that

∣ ∣ - a^{2} b a c a a b - b^{2} c b a c b c - c^{2} ∣ ∣ = 4 a^{2} b^{2} c^{2}

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Question Text

Using properties of determinants, prove that

∣ ∣ - a^{2} b a c a a b - b^{2} c b a c b c - c^{2} ∣ ∣ = 4 a^{2} b^{2} c^{2}

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