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[" If "a!=6,b,c" satisfies "],[[a,2b,2c]...

[" If "a!=6,b,c" satisfies "],[[a,2b,2c],[3,b,c],[4,a,b]|=0]

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If a!=6,b,c satisfy |[a,2b,2c],[3,b,c],[4,a,b]|=0 ,then abc =

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Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]|=a^3

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Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]| = a^3