- #1
degs2k4
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Homework Statement
I am trying to get the roots of:
[tex](x-a)^3 - (x-a)b^2 - 2b^3 -2b^2(x-a)[/tex]
which I know they are [tex] x = a-b [/tex] and [tex] x = a+2 b [/tex]
the problem is, how can I reach that solution ?
The Attempt at a Solution
At first I thought of separating the independent term (the one without x's) and manipulating the expression in order to guess x, but I haven't been successful...
[tex]x^3 - xb^2 - 3xb^2 - a^3 + 3ab^2 - 2b^3 = 0[/tex]
[tex]x^3 - xb^2 - 3xb^2 = a^3 - 3ab^2 + 2b^3[/tex]
How could I solve this?
Thanks...