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Popular >

factor x^3-x^2-x+1

Solution

factor

x^{3} - x^{2} - x + 1

Solution

(x - 1)^{2} (x + 1)

Solution steps

x^{3} - x^{2} - x + 1

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

Factor out

x^{2}

from

x^{3} - x^{2} : x^{2} (x - 1)

Factor out

- 1

from

- x + 1 : - (x - 1)

= x^{2} (x - 1) - (x - 1)

Factor out common term

(x - 1) : (x - 1) (x^{2} - 1)

= (x - 1) (x^{2} - 1)

Factor

x^{2} - 1 : (x + 1) (x - 1)

= (x - 1) (x + 1) (x - 1)

Apply exponent rule:

aa = a^{2}

(x - 1) (x - 1) = (x - 1)^{2}

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

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\frac{48 m ^{3}}{3 m ^{4}}

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(1 + x) - (1 - x)

Frequently Asked Questions (FAQ)

What is factor x^3-x^2-x+1 ?
The solution to factor x^3-x^2-x+1 is (x-1)^2(x+1)