1, the proof of this formula is very simple. We can expand the left side of the equation to get a 2+AB-AB-B 2, and then simplify it to get a 2-B 2. We can also use the sum product difference formula to solve some geometric problems. For example, if we know the sum and difference of the areas of two parallelograms, we can use the formula of sum and product difference to calculate their common side length.
2. This formula is also widely used. For example, we can use this formula to calculate the values of some seemingly complicated mathematical expressions. For example, if we want to calculate the value of (3+4)(3-4), we can get (3 2-4 2) = 9-16 =-7 by summing up the product difference formula.
3. Sum-product-difference formula can also be used to solve some practical problems. For example, in physics, we often need to calculate the relative velocity of two objects. If the sum and difference of the velocities of two objects are known, the relative velocity can be calculated by the sum product difference formula.
Methods of learning mathematics
1, build a solid foundation: learning mathematics needs to build a solid foundation step by step. Starting with the basic mathematical concepts and principles, we can gradually master more advanced mathematical knowledge and skills. Make sure you understand the basic concepts and formulas of mathematics and use them skillfully.
2. Do more exercises: Mathematics is a subject that needs a lot of practice. By doing a lot of exercises, we can better master mathematical knowledge and improve our problem-solving ability and thinking level. Try different types of problems, including basic problems, applied problems and difficult problems, to improve their mathematical ability in an all-round way.
3. Pay attention to details: Learning mathematics needs to pay attention to details. Be sure to read the questions and answers carefully, and pay attention to symbols, decimal points, units and other details. When solving a problem, carefully analyze the problem to ensure that your answer meets the requirements of the topic. Make a study plan: Learning mathematics requires making a clear study plan. Determine your own learning goals and timetable and study according to the plan.
4. Ask for help: If you encounter difficulties or can't solve the problem, don't be afraid to ask for help. You can ask teachers, classmates or parents, or find relevant math resources and tutorials. By asking for help, you can solve problems faster and improve learning efficiency.