1. The problem is to simplify the expression $$\frac{ab + b}{b}$$ and verify if it equals $$a$$. 2. The formula used here is the property of division over addition: $$\frac{x + y}{z} = \frac{x}{z} + \frac{y}{z}$$, provided $$z \neq 0$$. 3. Applying this to our expression: $$\frac{ab + b}{b} = \frac{ab}{b} + \frac{b}{b}$$ 4. Simplify each term: - $$\frac{ab}{b} = a$$ (since $$b \neq 0$$, $$b$$ cancels out) - $$\frac{b}{b} = 1$$ (again, $$b$$ cancels out) 5. So the expression simplifies to: $$a + 1$$ 6. Therefore, $$\frac{ab + b}{b} = a + 1$$, which is not equal to $$a$$. 7. The mistake in the image is canceling $$b$$ from both terms in the numerator without considering the addition properly. Final answer: $$\frac{ab + b}{b} = a + 1 \neq a$$.