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Perfect square trinomial Calculator

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Solved example of Perfect square trinomial

$\frac{x^2+2x+1}{x^2+1}$
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The trinomial $\frac{x^2+2x+1}{x^2+1}$ is perfect square, because it's discriminant is equal to zero

$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
3

Using the perfect square trinomial formula

$a^2+2ab+b^2=(a+b)^2,\:where\:a=\sqrt{x^2}\:and\:b=\sqrt{1}$
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Factoring the perfect square trinomial

$\frac{\left(x+1\right)^{2}}{x^2+1}$

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