What reasons would the goverment of china adopt teachings of confucius?

Confucius teaching can be implemented to achieve personal greatness and stability in the government.

Explanation

There are several key points of Confucius teaching that make it appealing for The people in China:

- It provided guidelines on how to socially behave.

Confucius teach the people to treat each other with respect. This is beneficial for the government because it can help preventing conflicts between its own people

- It promoted the pursuit of Education.

Confucius believed that education is the key to the advancement of society. From the government's point of view, this is also beneficial. Having more educated people means that the country will have higher quality of skilled labors. They can contribute greatly to the advancement of national prosperity.

- It created a moral standard for the leaders.

Confucius also provide some guides on how to be a good leaders. According to his teaching, the rulers should be the one that show an example on how to upheld the moral standard. If the rulers fail to do this, the citizens will only follow their footsteps and society will turn into chaos.

for this case we have the following equation:

we apply distributive property to the terms within parentheses.

subtracting 2 on both sides of the equation: