What is factor x^3-3x^2-25x+75 ?

The solution to factor x^3-3x^2-25x+75 is (x-3)(x+5)(x-5)

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factor x^3-3x^2-25x+75

factor

x^{3} - 3 x^{2} - 25 x + 75

(x - 3) (x + 5) (x - 5)

Solution steps

x^{3} - 3 x^{2} - 25 x + 75

= (x^{3} - 3 x^{2}) + (- 25 x + 75)

Factor out

x^{2}

from

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

Factor out

- 25

from

- 25 x + 75 : - 25 (x - 3)

= x^{2} (x - 3) - 25 (x - 3)

Factor out common term

x - 3

= (x - 3) (x^{2} - 25)

Factor

x^{2} - 25 : (x + 5) (x - 5)

= (x - 3) (x + 5) (x - 5)

9 x^{4} - 36 x^{3} + 26 x^{2} + 4 x - 3

75 n^{2}

5 x^{2} + 20

0. 1^{2}

\frac{11}{11 - 3}

What is factor x^3-3x^2-25x+75 ?
The solution to factor x^3-3x^2-25x+75 is (x-3)(x+5)(x-5)