Sum-difference multiple formula is a commonly used mathematical formula to solve the problem of sum, difference and multiple relationship between two or more numbers. It can help us quickly find the relationship between these quantities, thus simplifying the calculation process.

The core idea of the sum-difference-multiple formula is to express the relationship between two or more numbers as an equation by using the properties of the equation, and then find the relationship between these numbers by solving the equation.

Specifically, the sum-difference multiplication formula can be expressed as: (a+b) × c = a× c+b× c, where a, b and c are unknowns to be solved. Through this formula, we can quickly find the relationship between A and B, thus solving related problems.

For example, suppose we have two numbers A and B, whose sum is 100 and the difference is 20. We want to find the multiple relationship between A and B. According to the sum-difference multiplication formula, we can list the following equations: (a+b) × c = a× c+b× c, where c is the multiple relationship we want to find. Substituting the known conditions into the equation, we can get: (100/2) × c = 20× c. By solving the equation, we can get the value of c and find out the multiple relationship between A and B.

Formula that can solve the problem of sum and difference times:

1, square difference formula: A 2-B 2 = (A+B) (A-B)

This formula can be used to solve the square difference problem of two numbers, such as finding the product of the sum and difference of two numbers.

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

This formula can be used to solve the problem of how much is the square of one number plus the product of two numbers plus the square of another number, such as finding the square of the sum of two numbers.

3. Cubic sum formula: A 3+B 3 = (A+B) (A 2-AB+B 2)

This formula can be used to solve the problem of cubic sum of two numbers, such as finding what the cubic sum of two numbers is equal to.

4. Cubic difference formula: A 3-B 3 = (A-B) (A 2+AB+B 2)

This formula can be used to solve the cubic difference problem of two numbers, for example, to find what the cubic difference of two numbers is equal to.