Step-by-step Solution

Simplify the expression $\frac{x^2+2x+1}{x^2+1}$

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Step-by-step explanation

Problem to solve:

$\frac{x^2+2x+1}{x^2+1}$

Learn how to solve polynomial long division problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^2+2x+1)/(x^2+1). The trinomial x^2+2x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final Answer

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

Time to solve it:

~ 0.05 s (SnapXam)