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```        This is the determinant, pls help  me in evaluating this determinant
|1   a   axa |
|1   b   bxb |
|1   c   cxc |
{x is nothing but multiplication}

```
6 years ago

419 Points
```										Dear Aditya
Your quetion is not clear in the sense axa can be written as x*a^2. Such type of quetions can be solved by applying row operations i.e. R3 =R3-R2   and R2=R2-R1. Then it will be quite easy to solve the determinant.
All the best.
AKASH GOYAL

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```
6 years ago
Rubankumar S
14 Points
```

|1   a   a^2|
|1   b    b^2|
|1  c  c^2|

=  0   a-b     a^2 - b^2            here i am not usin paranthesis it is impossible for me to use so i left it.but you should use
0   b-c      b^2 - c^2            R1=R1- R2      R2=R2 - R3         BY DOING SO VALUE OF DET DOESN'T CHANGE
1   c         c^2

=  (a-b)(b-c) *        0  1    a+b              take (a-b) from R1  ;(b-c) from R2
0  1    b+c
1  c    c^2
= (a-b)(b-c)  *{1(b+c)-(a+b)}               expand det along C1
= (a-b)(b-c)(c-a)

```
6 years ago
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