Completing the Square Calculator

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 Example

 Solved Problems

 Difficult Problems

Here, we show you a step-by-step solved example of completing the square. This solution was automatically generated by our smart calculator:

$x^2+8x+20$

Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$x^2+8x+20+\left(\frac{8}{2}\right)^2- \left(\frac{8}{2}\right)^2$

Divide $8$ by $2$

$x^2+8x+20+4^2- \left(\frac{8}{2}\right)^2$

Divide $8$ by $2$

$x^2+8x+20+4^2- 4^2$

Calculate the power $4^2$

$x^2+8x+20+16- 16$

Multiply $-1$ times $16$

$x^2+8x+20+16-16$

Subtract the values $20$ and $-16$

$\left(x+4\right)^2+4$

 Final answer to the exercise

$\left(x+4\right)^2+4$

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