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Expression simplification/ Factor perfect squares/ y^2-4*y+3

Factor y^2-4*y+3 squared

An expression to simplify:

The solution

You have entered [src] 
 2          
y  - 4*y + 3
$$\left(y^{2} - 4 y\right) + 3$$ 
y^2 - 4*y + 3
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(y^{2} - 4 y\right) + 3$$
To do this, let's use the formula
$$a y^{2} + b y + c = a \left(m + y\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = -4$$
$$c = 3$$
Then
$$m = -2$$
$$n = -1$$
So,
$$\left(y - 2\right)^{2} - 1$$
General simplification [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
Factorization [src] 
(x - 1)*(x - 3)
$$\left(x - 3\right) \left(x - 1\right)$$ 
(x - 1)*(x - 3)
Numerical answer [src] 
3.0 + y^2 - 4.0*y
3.0 + y^2 - 4.0*y
Assemble expression [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
Powers [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
Combinatorics [src] 
(-1 + y)*(-3 + y)
$$\left(y - 3\right) \left(y - 1\right)$$ 
(-1 + y)*(-3 + y)
Combining rational expressions [src] 
3 + y*(-4 + y)
$$y \left(y - 4\right) + 3$$ 
3 + y*(-4 + y)
Common denominator [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
Trigonometric part [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
Rational denominator [src] 
     2      
3 + y  - 4*y
$$y^{2} - 4 y + 3$$ 
3 + y^2 - 4*y
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