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Completing the Square Calculator

Get detailed solutions to your math problems with our Completing the Square step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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Example

Solved Problems

Difficult Problems

1

Solved example of completing the square

$factor\left(x^2+8x+20\right)$
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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$x^2+8x+20+16-16$
3

Factor the perfect square trinomial $x^2+8x+16$

$\left(x+4\right)^2+20-16$
4

Subtract the values $20$ and $-16$

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

Final Answer

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

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