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Popular >

factor x^3-2x^2-4x+8

Solution

factor

x^{3} - 2 x^{2} - 4 x + 8

Solution

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

Solution steps

x^{3} - 2 x^{2} - 4 x + 8

= (x^{3} - 2 x^{2}) + (- 4 x + 8)

Factor out

x^{2}

from

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

Factor out

- 4

from

- 4 x + 8 : - 4 (x - 2)

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

Factor out common term

x - 2

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

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0.1 (8 + x) = 0.6 (x + 8)

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(x+5)/4 = 3/2-(x-1)/5

\frac{x + 5}{4} = \frac{3}{2} - \frac{x - 1}{5}

Frequently Asked Questions (FAQ)

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