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Expression simplification/ Factor perfect squares/ x^2-x-6

Factor x^2-x-6 squared

An expression to simplify:

The solution

You have entered [src] 
 2        
x  - x - 6
$$\left(x^{2} - x\right) - 6$$ 
x^2 - x - 6
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - x\right) - 6$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = -1$$
$$c = -6$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{25}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{25}{4}$$
General simplification [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Factorization [src] 
(x + 2)*(x - 3)
$$\left(x - 3\right) \left(x + 2\right)$$ 
(x + 2)*(x - 3)
Combinatorics [src] 
(-3 + x)*(2 + x)
$$\left(x - 3\right) \left(x + 2\right)$$ 
(-3 + x)*(2 + x)
Powers [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Assemble expression [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Trigonometric part [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Common denominator [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Rational denominator [src] 
      2    
-6 + x  - x
$$x^{2} - x - 6$$ 
-6 + x^2 - x
Numerical answer [src] 
-6.0 + x^2 - x
-6.0 + x^2 - x
Combining rational expressions [src] 
-6 + x*(-1 + x)
$$x \left(x - 1\right) - 6$$ 
-6 + x*(-1 + x)
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