Without expanding, show that the value : |[[1, a, a^2-bc],[1, b, b^2-ac],[1, c, c^2-ab]]| = 0

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Without expanding, show that : |[[1/a, a^2, bc],[1/b, b^2, ac],[1/c, c^2, ab]]| = 0 Without expanding, show that : |[[1/a, a^2, bc],[1/b, b^2, ac],[1/c, c^2, ab]]| = 0
|[ 1 a a^2-bc; 1 b b^2-ca; 1 c c^2-ab ]|= (A) 0 (B) ∑ a^2(b-c... |[ 1 a a^2-bc; 1 b b^2-ca; 1 c c^2-ab ]|= (A) 0 (B) ∑ a^2(b-c...
Show without expanding at any stage 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^2, bc],[1/b, b^2, ca],[1/c, c^2, ab]|=0 `
Show without expanding at any stage 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^2, bc],[1/b, b^2, ca],[1/c, c^2, ab]|=0 `
Show without expanding at any stage that: ` | [1,bc, a(b+c)],[1,ca, b(c+a)],[1,ab, c(a+b)]|=0 ` Show without expanding at any stage that: ` | [1,bc, a(b+c)],[1,ca, b(c+a)],[1,ab, c(a+b)]|=0 `
Evaluate the following: ` |[1,,a^2-bc],[1, b,b^2-ac],[1,c,c^2-ab]| ` Evaluate the following: ` |[1,,a^2-bc],[1, b,b^2-ac],[1,c,c^2-ab]| `
By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(... By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(...
The value of the determinant |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)| is (A) (a+b+c),(a^2+b^2+c^... The value of the determinant |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)| is (A) (a+b+c),(a^2+b^2+c^...