Evaluate the following: ` |[a, b+c, a^2],[b, c+a, b62],[c, a+b c^2]| `

Similar Questions

Explore conceptually related problems

Evaluate the following: |[a-b, b-c, c-a],[b-c, c-a, a-b],[c-a, a-b, b-c]|

Evaluate the following: |[a,b,c],[a^2, b^2, c^2],[a^3, b^3, c^3]|

Evaluate the following: |[b+c, a-b, a],[c+a, b-c, b],[a+b, c-a, c]|

Evaluate the following : |{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}|

Find the factor of determinant |(a, b+c, a^2), (b, c+a, b^2), (c, a+b, c^2)|.

Prove the following : |{:(a^(2),a,b+c),(b^(2),b,c+a),(c^(2),c,a+b):}|=-(a+b+c)(a-b)(b-c)(c-a)

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

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

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