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Expression simplification/ Factorization polynomials/ a^2-8*a+16

Factor polynomial a^2-8*a+16

An expression to simplify:

The solution

You have entered [src] 
 2           
a  - 8*a + 16
$$\left(a^{2} - 8 a\right) + 16$$ 
a^2 - 8*a + 16
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(a^{2} - 8 a\right) + 16$$
To do this, let's use the formula
$$a^{3} + a b + c = a \left(a + m\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = -8$$
$$c = 16$$
Then
$$m = -4$$
$$n = 0$$
So,
$$9$$
General simplification [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
Factorization [src] 
a - 4
$$a - 4$$ 
a - 4
Numerical answer [src] 
16.0 + a^2 - 8.0*a
16.0 + a^2 - 8.0*a
Assemble expression [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
Rational denominator [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
Common denominator [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
Combinatorics [src] 
        2
(-4 + a)
$$\left(a - 4\right)^{2}$$ 
(-4 + a)^2
Powers [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
Combining rational expressions [src] 
16 + a*(-8 + a)
$$a \left(a - 8\right) + 16$$ 
16 + a*(-8 + a)
Trigonometric part [src] 
      2      
16 + a  - 8*a
$$a^{2} - 8 a + 16$$ 
16 + a^2 - 8*a
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