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Expression simplification/ Factor perfect squares/ -y^2+9*y*b-b^2

Factor -y^2+9*y*b-b^2 squared

An expression to simplify:

The solution

You have entered [src] 
   2            2
- y  + 9*y*b - b
$$- b^{2} + \left(b 9 y - y^{2}\right)$$ 
-y^2 + (9*y)*b - b^2
General simplification [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Factorization [src] 
/      /      ____\\ /      /      ____\\
|    y*\9 - \/ 77 /| |    y*\9 + \/ 77 /|
|b - --------------|*|b - --------------|
\          2       / \          2       /
$$\left(b - \frac{y \left(9 - \sqrt{77}\right)}{2}\right) \left(b - \frac{y \left(\sqrt{77} + 9\right)}{2}\right)$$ 
(b - y*(9 - sqrt(77))/2)*(b - y*(9 + sqrt(77))/2)
The perfect square
Let's highlight the perfect square of the square three-member
$$- b^{2} + \left(b 9 y - y^{2}\right)$$
Let us write down the identical expression
$$- b^{2} + \left(b 9 y - y^{2}\right) = \frac{77 y^{2}}{4} + \left(- b^{2} + 9 b y - \frac{81 y^{2}}{4}\right)$$
or
$$- b^{2} + \left(b 9 y - y^{2}\right) = \frac{77 y^{2}}{4} - \left(b - \frac{9 y}{2}\right)^{2}$$
Trigonometric part [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Common denominator [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Combinatorics [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Rational denominator [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Powers [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Assemble expression [src] 
   2    2        
- b  - y  + 9*b*y
$$- b^{2} + 9 b y - y^{2}$$ 
-b^2 - y^2 + 9*b*y
Combining rational expressions [src] 
   2               
- b  + y*(-y + 9*b)
$$- b^{2} + y \left(9 b - y\right)$$ 
-b^2 + y*(-y + 9*b)
Numerical answer [src] 
-b^2 - y^2 + 9.0*b*y
-b^2 - y^2 + 9.0*b*y
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