What is the domain of (x(1+x)(1-x))/(1+2x) ?

The domain of (x(1+x)(1-x))/(1+2x) is x -1/2

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domain of (x(1+x)(1-x))/(1+2x)

domain

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

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

What is the domain of (x(1+x)(1-x))/(1+2x) ?
The domain of (x(1+x)(1-x))/(1+2x) is x<-1/2 \lor x>-1/2