simplify (x^2+2x+1)/(x+1) — step-by-step solution

Let's reduce:

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

We first try to factorize the numerator

Let's factorize in

ℝ

x^{2} + 2 x + 1

You can rephrase the expression into:

{(x + 1)}^{2}

With the new factorized numerator, we try to simplify the new quotient:

\frac{{(x + 1)}^{2}}{x + 1}

▷Answer: $x + 1$