Question: Here is one sentence: We can use this mathematical formula to solve the problem.
Here is another sentence: We only use Spanish at home.
Does the use mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: This is my house and my family's ancestral home.
Here is another sentence: She felt she had to get out of the house.
Does the house mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: The accident was a good lesson to me.
Here is another sentence: He did the lesson for today.
Does the lesson mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: Everyone got a cut of the earnings.
Here is another sentence: The lawyer took a cut of the profits.
Does the cut mean the same thing in the two sentences?

Answer:
the same meaning