Compléter le carré Calculator

Here, we show you a step-by-step solved example of compléter le carré. This solution was automatically generated by our smart calculator:

Apply the formula: $x^2+bx+c$$=x^2+bx+c+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2$, where $b=8$ and $c=20$

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=8$, $b=2$ and $a/b=\frac{8}{2}$

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=8$, $b=2$ and $a/b=\frac{8}{2}$

Apply the formula: $a^b$$=a^b$, where $a=4$, $b=2$ and $a^b=4^2$

Apply the formula: $ab$$=ab$, where $ab=- 16$, $a=-1$ and $b=16$

Apply the formula: $a+b$$=a+b$, where $a=20$, $b=-16$ and $a+b=\left(x+4\right)^2+20-16$