Special products
Encyclopedia
In mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, special products are of the form:
(a-b) = a2 - b2 (Product of sum and difference of two terms)

which can be used to quickly solve multiplication
Multiplication
Multiplication is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic ....

such as:
301 * 299 = (300 +1)(300-1) = 3002 - 12 = 90000 - 1 = 89999
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