In
mathematics,
special products are of the form:
(a+b)(a-b) = a2 - b2 (Product of sum and difference of two terms)
which can be used to quickly solve
multiplication such as:
301 * 299 = (300 +1)(300-1) = 3002 - 12 = 90000 - 1 = 89999
types
1. Square of a
binomial
(a+b)^2 = a^2 + 2ab + b^2
carry the signs as you solve
2. Square of a Trinomial
(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc
carry the sings as you solve
3. Cube of a Binomial
(a+b)^3 = a^3 + 3(a^2)b + 3a(b^2) + b^3
4. Product of sum and difference
(a+b)(a-b) = a^2 - b^2
5. Product of a binomial and a special multinomial
(a+b)(a^2 - ab + b^2) = a^3-b^3
(a-b)(a^2 + ab + b^2) = a^3-b^3
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