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

The solution to factor x^3-x^2-25x+25 is (x-1)(x+5)(x-5)

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

factor

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

(x - 1) (x + 5) (x - 5)

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)

Factor

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

= (x - 1) (x + 5) (x - 5)

2 \times \frac{1}{9}

27 \times 3

\frac{20 x}{100 x}

\frac{4}{x + 3} - \frac{3}{x + 2}

\frac{5 y}{y ^{2} - 2 y}

What is factor x^3-x^2-25x+25 ?
The solution to factor x^3-x^2-25x+25 is (x-1)(x+5)(x-5)