What is factor x^3-3x^2-6x+18 ?

The solution to factor x^3-3x^2-6x+18 is (x-3)(x^2-6)

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factor x^3-3x^2-6x+18

factor

x^{3} - 3 x^{2} - 6 x + 18

(x - 3) (x^{2} - 6)

Solution steps

x^{3} - 3 x^{2} - 6 x + 18

= (x^{3} - 3 x^{2}) + (- 6 x + 18)

Factor out

x^{2}

from

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

Factor out

- 6

from

- 6 x + 18 : - 6 (x - 3)

= x^{2} (x - 3) - 6 (x - 3)

Factor out common term

x - 3

= (x - 3) (x^{2} - 6)

9 x^{2} - 25 y^{4}

(2 a + 4)^{2}

- 10 + (- 6)

(9 q) (- 4 q^{3})

What is factor x^3-3x^2-6x+18 ?
The solution to factor x^3-3x^2-6x+18 is (x-3)(x^2-6)