Alright, so you've given the (incorrect) answer that you found for the first problem, although you've not shown any work as to how you got there. The answer you've shown:

\(\displaystyle \dfrac{1}{7} \cdot x \cdot (x+1)\)

is very close to the actual answer. But, unfortunately, we can't troubleshoot work we can't see. I'll assume that you took the standard first step of using the reciprocal to turn the division problem into a multiplication problem:

\(\displaystyle \dfrac{2(x+1)^2}{5x} \div \dfrac{7(x+1)}{10x^2}=\dfrac{2(x+1)^2}{5x} \times \dfrac{10x^2}{7(x+1)}\)

And from there, you multiplied straight across, as per the rules of fraction multiplication. But what did you do after that? Please share all of your work with us, even the parts you know for sure are wrong. Thank you.