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Complete cubic formula and cubic difference formula
All cubic formulas include all cubic sum formula and all cubic difference formula. The complete cubic sum formula means that the cube of the sum of two numbers is equal to the sum of the cubic sum of these two numbers and the square of each number multiplied by three times the sum of another number, that is, (A B) 3 = A3 32B+3B2 B3.

Cubic difference formula is also one of the commonly used formulas in mathematics, which has some contact in high school mathematics, occupies a very important position in mathematical research and even in advanced mathematics and calculus. Cubic difference formula and cubic sum formula * * * are called complete cubic formula.

The complete cube formula refers to the cube of the sum (or difference) of two numbers, which is equal to the cube of the first number, plus (or minus) three times the product of the square of the first number and the second number, plus three times the product of the square of the first number and the second number, plus (or minus) the cube of the second number. These two formulas are called the complete cubic formula of multiplication and the cubic formula of binomial.

Cubic sum formulas are sometimes used in mathematical operations. The literal expression of this formula is: the sum of two numbers, multiplied by the difference between their square sum and product, is equal to the cubic sum of these two numbers; The expression is: (a+b)(a? -ab+b? )=a? +b? .

The power operation with cubic index of 3 means the product of three identical numbers, but it should be noted that the calculation formula of the volume of cubic objects with different shapes is different, and the meaning of cubic expression is different in different situations.

The benefits of learning mathematics:

1. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning.

Mathematics can cultivate people's tenacity and courage. The great math educator Paulia said: "Difficulties and problems belong to the same concept. If there is no difficulty, there will be no problem.

3. Mathematics can cultivate people's overall consciousness. To solve mathematical problems, we must comprehensively consider the problems from the known to the conclusion and grasp the interrelationships of all aspects. Mathematics teaching can cultivate students to consider problems comprehensively from the overall situation.

Mathematics can cultivate people's good character. The better a person's math study, the more flexible his thinking. In this case, his enthusiasm and enthusiasm are very high, and he is good at expressing his ideas and methods, so that his communication skills will be tempered and his self-confidence will be gradually enhanced.