Final Answer
$\frac{\left(x+1\right)^{2}}{x^2+1}$
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Step-by-step Solution
Problem to solve:
$\frac{x^2+2x+1}{x^2+1}$
Specify the solving method
1
The trinomial $x^2+2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve polynomial long division problems step by step online.
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
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
$\frac{\left(x+1\right)^{2}}{x^2+1}$