Final Answer
$\frac{-1}{x+1}$
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Step-by-step Solution
Specify the solving method
1
Divide fractions $\frac{-1}{\frac{x^2+2x+1}{x+1}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
$\frac{-\left(x+1\right)}{x^2+2x+1}$
Learn how to solve polynomial factorization problems step by step online.
$\frac{-\left(x+1\right)}{x^2+2x+1}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square -1/((x^2+2x+1)/(x+1)). Divide fractions \frac{-1}{\frac{x^2+2x+1}{x+1}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+2x+1. Subtract the values 1 and -1.
Final Answer
$\frac{-1}{x+1}$