What is factor x^4-x^3+8x-8 ?

The solution to factor x^4-x^3+8x-8 is (x-1)(x+2)(x^2-2x+4)

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factor x^4-x^3+8x-8

factor

x^{4} - x^{3} + 8 x - 8

(x - 1) (x + 2) (x^{2} - 2 x + 4)

Solution steps

x^{4} - x^{3} + 8 x - 8

= (x^{4} - x^{3}) + (8 x - 8)

Factor out

x^{3}

from

x^{4} - x^{3} : x^{3} (x - 1)

Factor out

8

from

8 x - 8 : 8 (x - 1)

= x^{3} (x - 1) + 8 (x - 1)

Factor out common term

x - 1

= (x - 1) (x^{3} + 8)

Factor

x^{3} + 8 : (x + 2) (x^{2} - 2 x + 2^{2})

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

2^{2} = 4

= (x - 1) (x + 2) (x^{2} - 2 x + 4)

(2 p - 3) (2 p + 3)

(4 y^{2})^{3}

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

x^{2} - y^{2} - x + y

8 m^{3} - 12 m^{2} - 24 m

What is factor x^4-x^3+8x-8 ?
The solution to factor x^4-x^3+8x-8 is (x-1)(x+2)(x^2-2x+4)