Distributivity (elementary mathematics)

The distributivity is a property of the Multiplication which makes it possible to carry out in two ways different the product from a number by a sum:

$has\; \backslash \; times\; (b+c)\; =\; (has\; \backslash \; times\; b)\; +\; (has\; \backslash \; times\; c)$ Ici one distributed has in each term of the sum

$(a+b)\; \backslash \; times\; C\; =\; (has\; \backslash \; times\; c)\; +\; (B\; \backslash \; times\; c)$ Ici one distributed C in each term of the sum

To pass from the product of a number by a sum to a sum of two products is called to develop the expression.

By writing the equality in the other direction, one obtains then the description or factorization:

$(has\; \backslash \; times\; b)\; +\; (has\; \backslash \; times\; c)\; =\; has\; \backslash \; times\; (b+c)$ Ici one put has in factor in the expression

See too

• remarkable Identity
• Mathematical

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