1. The problem asks to find which expression is equivalent to the given expression labeled mc009-1.jpg. 2. Since the images are not visible, let's assume the original expression is a rational algebraic expression and the options are different forms of it. 3. To determine equivalence, we use algebraic simplification rules such as factoring, expanding, and reducing fractions. 4. For example, if the original expression is $$\frac{a^2 - b^2}{a - b}$$, we can factor the numerator as $$a^2 - b^2 = (a - b)(a + b)$$. 5. Then the expression simplifies to $$\frac{(a - b)(a + b)}{a - b} = a + b$$, assuming $$a \neq b$$. 6. This process shows how to check equivalence by simplifying each option and comparing to the original. 7. Without the actual expressions, the key takeaway is to apply factoring and simplification to verify equivalence.