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Topic: Factor [(y-1)^4] - (y-1)^2
Replies: 2   Last Post: Apr 18, 2009 6:22 AM

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Posts: 1
From: Montreal, Quebec
Registered: 4/6/09
Factor [(y-1)^4] - (y-1)^2
Posted: Apr 6, 2009 8:34 PM
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I just started studying algebra recently and can't factor this one problem correctly:
[(y-1)^4] - (y-1)^2
The answer from the back of the book is y[(y-1)^2](y-2).

But, I can't get it.
I know (y-1)^2 = [y^2]-2y+1, which helps to a point.
I get as far as [y^4]-[4y^3]+[5y^2]-2y and can't seem to really factor any further.
By the way, I added all square brackets just to avoid confusion with the exponents. There are none in the equation.

Hope you can help!

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