1, square difference formula: a? -B? =(a+b)(a-b)
Definition: The square difference formula means that the square difference of two numbers is equal to the product of the sum of these two numbers and the difference of these two numbers.
For example, if these two numbers are 3 and 4, then the square difference formula can be expressed as:
(3^2 - 4^2)? = (3 + 4)? × (3 - 4)
Substituting the numerical value into the formula, we can get:
(3^2 - 4^2)? = -7
Therefore, the square difference formula can calculate the square difference of two numbers.
2. Cubic difference formula: a? -B? =(a-b)(a？ +ab+b？ )
Definition: The cubic difference formula means that the cubic difference of two numbers is equal to the difference of these two numbers multiplied by the sum of the squares of these two numbers plus twice the product of these two numbers.
For example, if these two numbers are a and b, then the cubic difference formula can be expressed as:
(a^3 - b^3)？ = (a - b)？ * (a^2 + ab + b^2)
Substituting the numerical value into the formula, we can get:
(a^3 - b^3)？ = (a - b)？ * (a^2 + ab + b^2)
So the cubic difference formula can calculate the cubic difference of two numbers.
3. Complete square formula: a? +2ab+b？ =(a+b)？
Definition: The complete square formula means that the square of the sum (or difference) of two numbers is equal to the sum of their squares plus (or minus) twice their product.
For example, expressed by mathematical symbols as:
(a b) 2 = a 22ab+b 2
Where a and b are any two real numbers.
The complete square formula is widely used and can be used to solve various mathematical problems, such as algebra and geometry.
4. Cubic sum formula: A? +b？ =(a+b)(a？ -ab+b？ )。
Definition: The cubic sum formula means that the cubic sum of two numbers is equal to the sum of these two numbers multiplied by the sum of the squares of these two numbers plus three times the product of these two numbers.
For example, if these two numbers are 3 and 4, the cubic sum formula can be expressed as:
(3^3 + 4^3)? = (3 + 4)? * (3^2 + 34 + 4^2)
Substituting the numerical value into the formula, we can get:
(3^3 + 4^3)? = (3 + 4)? * (3^2 + 34 + 4^2)
= (3 + 4)? * (3^2 + 3 × 4 + 4^2)
= 7 × (9 + 12 + 16)
= 7 × 37
= 9 1
So the cubic sum formula can calculate the cubic sum of two numbers.
5. Complete cubic sum formula: a? +3a？ b+3ab？ +b？ =(a+b)？
Definition: The complete cubic sum formula means that the cubic sum of two numbers is equal to the cubic sum of these two numbers plus three times the product of these two numbers.
Assuming that these two numbers are 3 and 4, substituting the values into the formula, we can get:
(3^3 + 4^3)? = (3 + 4)? × (3^2 + 34 + 4^2)
= (3 + 4)? × (3^2 + 3 × 4 + 4^2)
= 9 1
So the complete cubic sum formula can calculate the cubic sum of two numbers.