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Popular >

factor x^3-x^2-9x+9

Solution

factor

x^{3} - x^{2} - 9 x + 9

Solution

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

Solution steps

x^{3} - x^{2} - 9 x + 9

= (x^{3} - x^{2}) + (- 9 x + 9)

Factor out

x^{2}

from

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

Factor out

- 9

from

- 9 x + 9 : - 9 (x - 1)

= x^{2} (x - 1) - 9 (x - 1)

Factor out common term

x - 1

= (x - 1) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

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

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Frequently Asked Questions (FAQ)

What is factor x^3-x^2-9x+9 ?
The solution to factor x^3-x^2-9x+9 is (x-1)(x+3)(x-3)