prove that `|[a,b,0],[0,a,b],[b,0,a]|=a^3+b^3`,hence find the value of` |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|`

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

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

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 that |{:(a,b,0),(0,a,b),(b,0,a):}|=a^3+b^3 , hence , find the value of the following determinant : |{:(2ab,a^2,b^2),(a^2,b^2,2ab),(b^2,2ab,a^2):}|

If a =0, b =3, find the value of frac(a^2+2ab+b^2)(a^2 -2ab + b^2)

If a+b=10 and ab=16 then find the value of a^2+2b^2 and a^2+ab+b^2

If a =-2, b=0, find the value of (a+b)^2 and a^2-ab+b^2

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

If a+b=10 and ab=16 find the value of a^(2)-ab+b^(2) and a^(2)+ab+b^(2)