[" 2) Prove that "|[a,a+b,a+2b],[a+2b,a,a+b],[a+b,a+2b,a]|=ab^(2)(a+b)]

Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2 .

answer the following : (ii) prove that, |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]| =- (a^3+b^3)^2

Prove: |[a^2, 2ab,b^2],[b^2,a^2, 2ab],[2ab,b^2,a^2]|=(a^3+b^3)^2

Prove: |(a, a+b, a+2b),( a+2b, a ,a+b ),(a+b, a+2b, a)|=9(a+b)b^2

Prove: |(a, a+b, a+2b),( a+2b, a ,a+b ),(a+b, a+2b, a)|=9(a+b)b^2

Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0

Without expanding, prove the following |(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=9(a+b)b^2

Prove that abs[[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=(a+b+c)^3

Prove that: 1/(bc+ca+ab)|[a, b, c],[a^2, b^2, c^2], [bc, ca, ab]|=(b-c),(c-a),(a-b)

Prove that |[(b+c)^2, a^2, bc],[(c+a)^2, b^2, ca],[(a+b)^2, c^2, ab]|=(a-b)(b-c)(c-a)(a+b+c)(a^2+b^2+c^2)