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Perfect square trinomial
Complete square formula: (a+b) 2 = a 2+2ab+b 2.

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Mathematics is a very basic and important subject, which involves all aspects of our lives. From shopping calculation in daily life to complex models in scientific research, it is inseparable from the application of mathematics.

The essence of mathematics is an abstract subject that studies concepts such as quantity, structure, change and space. Through the study of mathematics, we can cultivate the ability of logical thinking, analyzing and solving problems, and lay a solid foundation for the study of other disciplines.

In the development of mathematics, many great mathematicians and schools of mathematics have appeared, and they have made outstanding contributions to the development of mathematics. Among them, Pythagoras School in ancient Greece, Algebra and Geometry in Renaissance and Bourbaki School in modern times all had a far-reaching influence on the development of mathematics.

Mathematics is widely used to solve various problems, such as problems in science, engineering, economy, finance and other fields. In scientific research, mathematics is the basis of experimental design and data analysis, and it is also an important tool for physics, chemistry, biology and other disciplines. In the engineering field, mathematics is used to design, analyze and optimize various systems and structures.

In economics, mathematics is used to describe and predict market behavior and economic development trends. In the financial field, mathematics is used to calculate risks and benefits, make investment decisions and manage risks.

Mathematics also plays an important role in computer science and artificial intelligence. Algorithm design, data structure and discrete probability theory in computer science are closely related to mathematics. Machine learning, deep learning and other fields in artificial intelligence also need a lot of mathematical knowledge.

In a word, mathematics is a very important subject, which not only occupies an important position in academic research, but also has extensive application value in practical application. By learning and mastering mathematics knowledge, we can better understand the world, solve problems and promote scientific and technological progress.