Thank you for the opportunity to help you with your question! Hope your day is going well!

This is a law of exponents problem. When we have a common base, we can apply the rules of exponents to it. In this case, our base is (x+1). Since we are multiplying,

We will add the exponents:

(x+1)^2 * (x+1)^5

(x+1)^(2+5)

(x+1)^7.

Thus this is your final answer.

Please let me know if you need any clarification. I'm always happy to answer your questions.