Best Answer

x^3 - x^2 + x - 1

= (x^3 - x^2) + (x - 1)

= x^2(x - 1) + (x - 1)

= (x -1)(x^2 + 1)

Q: How do you factor the expression x cubed minus x squared plus x minus 1?

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(x + 2)(3x - 1)(3x + 1)

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xcubed-1 Answer::(X-1)(Xsquared+X+1) when you factor xcubed minus a number its the same thing as x cubed minus y cubed and x cubed minus y cubed factors to:: (x-y)(xsquared+xy+y squared) the first factor, (x-y), is the cubed root of the first and the cubed root of the second, so in the answer i have (x-1), which is x cubed minus one cubed :) the second factor, (xsquared+xy+ysquared), you take the first number squared, Xsquared, then the first and second one multiplied together, XY, and then the second number squared, Ysquared, so in the answer i have (xsquared+x+1), which is x squared, then x times 1 which is just x, and positive 1, which is negative 1 squared :) x^3 - 1

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