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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)

Popular Examples

2 x \geq 10

7-3x<16\land x+12<-8

7 - 3 x < 16 and x + 12 < - 8

simplify 3/(a^{-4)}simplify

\frac{3}{a ^{- 4}}

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i^{- 22}

\frac{a - 2}{4} + 3 = a - 5

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)