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perfect square trinomial
The first square, the last square and the first and last multiplication in the middle.

Or the first square, the last square, twice in the middle.

It can also be: the first square, the last square, and the twice product are placed in the middle.

The same symbols are added, different symbols are subtracted, and the negative sign is added before the different symbols.

Extended data:

Formula:

The sum of the squares of 1 is equal to the sum of their squares plus twice their product.

(a+b)? =a? ﹢2ab+b?

The square of the difference between two numbers is equal to the sum of their squares minus twice their product.

﹙a-b﹚? =a? ﹣2ab+b?

This formula is an important knowledge base for algebraic operation and deformation, and is often used for factorization. The key point of this knowledge point is to remember and apply the complete square formula. The difficulty lies in understanding the characteristics of the formula (such as understanding the coefficient of the first term of the product in the formula). ).