The square formula refers to the formula for finding the square of a number. Generally speaking, the square of a number can be obtained by multiplying this number by itself. There are two square formulas commonly used in mathematics, namely integer square formula and fractional square formula.
Integer square formula: for any integer a, its square can be expressed as a? That is, the square of a is equal to a times a, for example, the square of 2 is 2? =2×2=4, and the square of 3 is 3? =3×3=9。
Fraction square formula: For any fraction a/b (where A and B are integers and B is not 0), its square can be expressed as (a/b)? That is, the square of a/b is equal to (a/b) times (a/b). This can be expressed by squaring a and b respectively to get the square of numerator and denominator, and then taking them as numerator and denominator of the new score.
For example, what is the square of (1/2)? = (1/2) × (1/2) =1/4, the square of (3/4) is (3/4)? =(3/4)×(3/4)=9/ 16。
Square formula is widely used in mathematics. It can be used to solve various problems related to square, such as calculating the square of a number, finding the square root, finding the square difference and so on. In addition, the square formula can also be used to derive other mathematical formulas and theorems, such as Pythagorean theorem.
To sum up, the square formula is one of the commonly used formulas in mathematics, which is used to calculate the square of a number. Through integer square formula and fractional square formula, we can easily solve various problems related to square, and it has many other applications and derivation values.
The square of the sum of two numbers 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 (understanding the coefficient, etc.). ).