" 16."quad |[1,a,bc],[1,b,ca],[1,c,ab]|"...

" 16."quad |[1,a,bc],[1,b,ca],[1,c,ab]|" is equal to "

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Evaluate: |[1,a,bc],[1,b,ca],[1,c,ab]|

Delta=det[[1,a,bc1,b,ca1,c,ab]]

|[1,a, bc] ,[1, b, ca], [1, c, ab]| = (a-b)(b-c)(c-a)

Prove that . |[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-ab]|=0

Evaluate : triangle = |[1,a,bc],[1,b,ca],[1,c,ab]|

Prove that |[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-ab]|= 0

Show without expanding at any stage that: [1/a, a,bc],[1/b,b,ca],[1/c, c, ab]|=0

Factorise : |(1,a,bc),(1,b,ca),(1,c,ab)|

Evaluate Delta -|(1,a,bc),(1,b,ca),(1,c,ab)|

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