What is factor x^3-5x^2-25x+125 ?

The solution to factor x^3-5x^2-25x+125 is (x-5)^2(x+5)

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factor x^3-5x^2-25x+125

factor

x^{3} - 5 x^{2} - 25 x + 125

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

Solution steps

x^{3} - 5 x^{2} - 25 x + 125

= (x^{3} - 5 x^{2}) + (- 25 x + 125)

Factor out

x^{2}

from

x^{3} - 5 x^{2} : x^{2} (x - 5)

Factor out

- 25

from

- 25 x + 125 : - 25 (x - 5)

= x^{2} (x - 5) - 25 (x - 5)

Factor out common term

x - 5

= (x - 5) (x^{2} - 25)

Factor

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

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

Apply exponent rule:

aa = a^{2}

(x - 5) (x - 5) = (x - 5)^{2}

= (x - 5)^{2} (x + 5)

(2 n + 1)^{2} + 3 (2 n + 1) - 4 = 0

8 x^{2} + 20 x + 8

- 9 r^{2} + 1

x^{3} - 5 x^{2} + 4 x + 10

6 x - 9 = 7 - 2 x

What is factor x^3-5x^2-25x+125 ?
The solution to factor x^3-5x^2-25x+125 is (x-5)^2(x+5)