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Factor polynomial x^3-x^2-x^3+2

An expression to simplify:

The solution

You have entered [src]
 3    2    3    
x  - x  - x  + 2
$$\left(- x^{3} + \left(x^{3} - x^{2}\right)\right) + 2$$
x^3 - x^2 - x^3 + 2
General simplification [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Factorization [src]
/      ___\ /      ___\
\x + \/ 2 /*\x - \/ 2 /
$$\left(x - \sqrt{2}\right) \left(x + \sqrt{2}\right)$$
(x + sqrt(2))*(x - sqrt(2))
Numerical answer [src]
2.0 - x^2
2.0 - x^2
Rational denominator [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Combinatorics [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Common denominator [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Combining rational expressions [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Powers [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Trigonometric part [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2
Assemble expression [src]
     2
2 - x 
$$2 - x^{2}$$
2 - x^2