Special polynomials products
Square of a binomial
A + B 2 = A 2 + 2 A B + B 2
A is the first monomial, B is the second monomial. Both monomials can be negative.
 
Difference of two squares
A + B A B = A 2 B 2
A is the term that does not change sign, B is the term that changes sign
 
Binomial cube
A + B 3 = A 3 + 3 A 2 B + 3 A B 2 + B 3
A is the first monomial, B is the second monomial. Both monomials can be negative.
 
Square of a trinomial
A + B + C 2 = A 2 + B 2 + C 2 + 2 A B + 2 B C + 2 C A
A is the first monomial, B is the second monomial, C is the third monomial. Each monomial can be negative.
 
 
Polynomial factorizations
Square of a binomial
A 2 + 2 A B + B 2 = A + B 2
You have to find the terms A 2 and B 2 and then calculate the basis A and B . Then you must check the term 2 A B
 
Difference of two squares
A 2 B 2 = A + B A B
 
Binomial cube
A 3 + 3 A 2 B + 3 A B 2 + B 3 = A + B 3
 
Cube subtraction
A 3 B 3 = A B A 2 + A B + B 2
 
Cube sum
A 3 + B 3 = A + B A 2 A B + B 2

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