What is factor x^3-4x+x^2-4 ?

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

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factor x^3-4x+x^2-4

factor

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

(x + 1) (x + 2) (x - 2)

Solution steps

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

Write in the standard form

= x^{3} + x^{2} - 4 x - 4

= (x^{3} + x^{2}) + (- 4 x - 4)

Factor out

x^{2}

from

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

Factor out

- 4

from

- 4 x - 4 : - 4 (x + 1)

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

Factor out common term

x + 1

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

Factor

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

= (x + 1) (x + 2) (x - 2)

8 1^{1 6^{- 4^{- 2^{- 1}}}}

(x + 2) (x + 1) (x - 2) (x - 3)

\frac{80}{25}

\frac{80}{27}

60 \times \frac{3}{4}

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