sum means the total of all numbers being added.
eg The sum of 14, 16 and 20 is 50 (14 + 16 + 20 = 50)
eg In Algebra, the sum of x and y is x + y
product means to multiply the numbers or functions together.
eg The product of 5 and 20 is 100 (5 x 20 = 100)
eg In Algebra, the product of x and y is xy.Â
Note: we do not write the multiplication sign in Algebra.
eg In Algebra, the product of x + 1 and x + 3 is (x+1)(x+3)