$=\frac{(\sqrt{x+1}-h)-\sqrt{x+1}}{h} \times \frac{\sqrt{x+1}}{\sqrt{x+1}}=$

Step 1 ：The question seems to be asking for the simplification of the given expression. To simplify this expression, we can first multiply the two fractions together. Then, we can simplify the numerator and the denominator separately.

Step 2 ：Let's simplify the expression: \(\frac{(\sqrt{x+1}-h)-\sqrt{x+1}}{h} \times \frac{\sqrt{x+1}}{\sqrt{x+1}}\)

Step 3 ：After multiplying the two fractions together, we get: \(\frac{(\sqrt{x+1}-h)\sqrt{x+1}-\sqrt{x+1}\sqrt{x+1}}{h}\)

Step 4 ：Simplifying the numerator and the denominator separately, we get: \(-1\)

Step 5 ：So, the final answer is \(\boxed{-1}\)