In mathematics, there are many commonly used symbols and formulas that can be used to represent and calculate various mathematical problems, thus simplifying the operation process. Such as multiplication and distribution law, square difference formula and so on. These formulas can be directly applied to all kinds of multiplication and square operations, avoiding the complicated intermediate calculation process.
Flexible use of mathematical properties can also simplify the operation. There are many properties in mathematics, such as sum formula of arithmetic sequence and sum formula of proportional sequence, which can be directly applied to corresponding mathematical problems, thus simplifying the calculation process.
Flexible use of mathematical methods can also simplify the operation. For example, some complex mathematical problems can be transformed into simple sub-problems or known problems by means of reduction, transformation and induction, so that the solutions of the problems can be obtained quickly.
Flexible use of mathematical symbols, formulas, properties and methods can simplify the operation process and improve the efficiency of solving problems. When learning mathematics, we should pay attention to the mastery and application of basic concepts, formulas and methods, and cultivate our own mathematical thinking ability and problem-solving ability.
Methods to simplify the operation:
1. Merge similar items: In mathematical operations, if some items have the same coefficient or value, then we can merge these items into one item, thus reducing the complexity of the operation. For example, 3x+2x can be simplified to 5x.
2. Extracting common factors: When an expression can be decomposed into the product of multiple terms, we can extract common factors to form new terms, thus simplifying the expression. For example, 2(3x+5y) can be simplified to 6x+ 10y. Different mathematical problems need different simplification methods, and we need to choose the appropriate simplification method according to the specific situation.
3. Triangular method of substitution: For some complicated mathematical expressions, we can transform them into trigonometric functions that are easier to solve. By trigonometric method of substitution, the original multidimensional problem can be transformed into a simple trigonometric function problem, thus simplifying the operation process. For example, some problems involving the sum of squares can be transformed into trigonometric functions to solve.