Same variables
Powers of variables are same
E.g.: 7x, 14x, -13x
Different variables
Powers of variables are different
E.g.; 7xy, 7x² , 7z³
(x-a) (x+b) = x² -(a-b)x-ab
(x+a) (x-b) = x²+(a+b)x-ab
(x-a) (x-b) = x² -(a+b)x+ab
(x+a) (x+b) =x²+(a+b)x+ab
(a+b)³ = a³+3ab(a+b)+b³
(a-b)³ = a³ -b³ -3ab(a -b)
(a+b) (a-b) = a² - b²
(a-b)²=a² -2ab+b²
(a+b)² = a²+2ab+b²
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
For Multiplication
Monomial by a monomial
Always gives a monomial
E.g.: 12x X 2z = 24xz
Polynomial by a monomial
Multiply every term of polynomial by monomial
Polynomial by a binomial
Multiply every term of binomial by every term of polynomial
Add the like terms
For Subtraction
Like terms are subtracted first
Unlike terms are handled later.
For Addition
Like terms are added first
Unlike terms are handled later.