Algebraically simplify: -x^(-1) +1-(x-1)(x^-2) to ((1/x)-1)^2

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- September 16th 2010, 09:14 PMyessHow do you simplify this algebraically?
Algebraically simplify: -x^(-1) +1-(x-1)(x^-2) to ((1/x)-1)^2

- September 16th 2010, 09:36 PMpickslides
You have

I would suggest starting by making a common denominator of - September 17th 2010, 01:28 AMEducated
Remember that multiplying by negative powers is the same as dividing by that positive power.

So you would have the equation of:

Make each of them have a common denominator by multiplying by corresponding values of x:

Note, x^2-2x+1 can be factorised to (x-1)^2 or (1-x)^2. I used (1-x)^2 because it helps in getting the final answer you gave.

- September 17th 2010, 05:22 AMSoroban
Hello, yess!

Quote:

We have: .

. . . . . .

Factor: .

- September 17th 2010, 05:46 AMArchie Meade