Can you simply talk about factoring, is it okay to factorize in this way?

The perfect square formula a +2ab+b = (a+b) square difference formula a -b =(a+b)(a-b) This is the formula method.

In addition, there is the common factor method ax-ay=a(x-y), cross-multiplication, e.g. 2x -7x+5 preceding 2x -5x -12x -5x =-7x (correct).

So 2x -7x+5=(2x-5)(x-1) is not difficult, and it should be noted that there is a common factor that must be proposed first, and it is not difficult to further decompose the cross multiplication method as long as you list such equations.

Definition and Main Methods of FactorizationConventional Factorization Main Formulas Definition: The transformation of a polynomial into the form of the product of several simplest formulas is called factoring the polynomial (also known as factoring). Significance:

It is one of the most important identity variations in secondary mathematics, and it is widely used in elementary mathematics as a powerful tool for solving many mathematical problems. The factorization method is flexible and technical, and learning these methods and skills is not only necessary to master the content of factorization, but also has a very unique role in cultivating students' problem-solving skills and developing students' thinking ability. Learning it can not only review the four operations of integers, but also lay a good foundation for learning fractions; Learning it well can not only cultivate students' observation, thinking development, and computing ability, but also improve students' ability to comprehensively analyze and solve problems.

Decomposition factors are inverse to integer multiplication. At the same time, it is also an important step in solving the factorization method in a quadratic equation.

Formula method: Mention common factor, cross multiplication.

The correct answer is: 2 (2x-1) (x-5).

That's the end result of factorization!

Solution process: 4x -22x+10

2（2x²-11x+5）

2（x-5)(2x-1)

4x²-22x+10=2（2x²-11x+5）=2（x-5)(2x-1)

Note three principles.

1 Decompose thoroughly.

2 The final result is only parentheses.

3 In the final result, the coefficient of the first term of the polynomial is positive.

This factorization is correct!

The common factor is extracted using the common factor method.

24x³ –12x²+28x‍‍‍

4x(6x²+3x -7)

May it help you!

The transformation of a polynomial into the product of several of the simplest forms is called factorization.

For example: x -4x+3=(x-1)(x-3).

Turning a polynomial into the form of a product is factorization.

Factoring is the use of the cross method, in which an expression is expressed as the product of two or more terms. Thank you.