Find the product of all $x$ such that the expression $\frac{x^2+2x+1}{x^2+2x-3}$ is undefined.
To find the product of all $x$ that make the expression undefined, I need to find the values of $x$ that make the denominator zero, since dividing by zero is undefined. To do that, I can factor the denominator and set each factor equal to zero. The denominator can be factored as $(x+3)(x-1)$, since when I multiply those two binomials I get $x^2+2x-3$. So the denominator is zero when either $x+3=0$ or $x-1=0$. Solving for $x$, I get $x=-3$ or $x=1$. These are the only two values of $x$ that make the expression undefined, so the product of all such $x$ is $(-3)(1)=-3$. 