Subjects algebra

Expression Undefined E16306

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Expression Undefined E16306


1. **State the problem:** We need to find the values of $x$ for which the expression $$\frac{(x - 2)(x + 2)}{(x + 1)(x + 3)}$$ is undefined. 2. **Recall the rule:** A rational expression is undefined when its denominator is zero. 3. **Set the denominator equal to zero:** $$(x + 1)(x + 3) = 0$$ 4. **Solve for $x$:** Using the zero product property: $$x + 1 = 0 \implies x = -1$$ $$x + 3 = 0 \implies x = -3$$ 5. **Conclusion:** The expression is undefined at $x = -3$ and $x = -1$. **Final answer:** A -3 and -1 only