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Expression simplification/ Factorization polynomials/ r^2-r-r*b+b^2

Factor polynomial r^2-r-r*b+b^2

An expression to simplify:

The solution

You have entered [src] 
 2              2
r  - r - r*b + b
$$b^{2} + \left(- b r + \left(r^{2} - r\right)\right)$$ 
r^2 - r - r*b + b^2
General simplification [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Factorization [src] 
/            _____________\ /            _____________\
|      r   \/ r*(4 - 3*r) | |      r   \/ r*(4 - 3*r) |
|b + - - + ---------------|*|b + - - - ---------------|
\      2          2       / \      2          2       /
$$\left(b + \left(- \frac{r}{2} - \frac{\sqrt{r \left(4 - 3 r\right)}}{2}\right)\right) \left(b + \left(- \frac{r}{2} + \frac{\sqrt{r \left(4 - 3 r\right)}}{2}\right)\right)$$ 
(b - r/2 + sqrt(r*(4 - 3*r))/2)*(b - r/2 - sqrt(r*(4 - 3*r))/2)
Combining rational expressions [src] 
 2                 
b  + r*(-1 + r - b)
$$b^{2} + r \left(- b + r - 1\right)$$ 
b^2 + r*(-1 + r - b)
Numerical answer [src] 
b^2 + r^2 - r - b*r
b^2 + r^2 - r - b*r
Trigonometric part [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Common denominator [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Combinatorics [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Rational denominator [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Assemble expression [src] 
 2    2             
b  + r  + r*(-1 - b)
$$b^{2} + r^{2} + r \left(- b - 1\right)$$ 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
Powers [src] 
 2    2          
b  + r  - r - b*r
$$b^{2} - b r + r^{2} - r$$ 
b^2 + r^2 - r - b*r
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