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

The solution to factor x^3-x^2+25x-25 is (x-1)(x^2+25)

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

factor

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

(x - 1) (x^{2} + 25)

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

25

from

25 x - 25 : 25 (x - 1)

= x^{2} (x - 1) + 25 (x - 1)

Factor out common term

x - 1

= (x - 1) (x^{2} + 25)

- 79

- 53

(1 + 2 x)^{11}

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What is factor x^3-x^2+25x-25 ?
The solution to factor x^3-x^2+25x-25 is (x-1)(x^2+25)