The equation `(b-c)x+(c-a)y+(a-b)=0` and `(b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0` will represent the same line if

Explanation

The given equations are in the form `ax+by+c=0`
and `px+qy+r=0` who represent the same line.

So, `a/p​=b/q​=c/r​=k` when,` k` is a constant.

Here `a=b^3−c^3`


`b=c^3−a^3`


`c=a^3−b^3`
and
`p=b−c,q=c−a,r=a−b`

`∴(b^3−c^3)/(b−c)​=k`

...