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Expression simplification/ Factor perfect squares/ x^2+4*x+4

Factor x^2+4*x+4 squared

An expression to simplify:

The solution

You have entered [src] 
 2          
x  + 4*x + 4
$$\left(x^{2} + 4 x\right) + 4$$ 
x^2 + 4*x + 4
General simplification [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} + 4 x\right) + 4$$
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
$$a = 1$$
$$b = 4$$
$$c = 4$$
Then
$$m = 2$$
$$n = 0$$
So,
$$\left(x + 2\right)^{2}$$
Factorization [src] 
x + 2
$$x + 2$$ 
x + 2
Trigonometric part [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
Common denominator [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
Numerical answer [src] 
4.0 + x^2 + 4.0*x
4.0 + x^2 + 4.0*x
Powers [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
Combinatorics [src] 
       2
(2 + x)
$$\left(x + 2\right)^{2}$$ 
(2 + x)^2
Combining rational expressions [src] 
4 + x*(4 + x)
$$x \left(x + 4\right) + 4$$ 
4 + x*(4 + x)
Assemble expression [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
Rational denominator [src] 
     2      
4 + x  + 4*x
$$x^{2} + 4 x + 4$$ 
4 + x^2 + 4*x
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