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 Removing Parenthesis Using Distributive Law Distributive Law asserts that , where a, b, and c are any real numbers. In general, we write the distributive law as , where the multiplication sign "." is omitted. Note that in algebra, the multiplication sign is written only for multiplication of numbers, e.g. . We apply Distributive Law from the left to the right to remove parenthesis. Taking we get the following two short cuts : This means that 1) Parenthesis precedes by a " +" sign can be simply erased (they are superfluous parenthesis). 2) Parenthesis precedes by a "-" sign can be removed including the "-" sign and replacing each term to its opposite. Ex 1: Remove parenthesis and simplify. Ex 2: Remove parenthesis and simplify Ex 3: Remove parenthesis and simplify    Ex 4: Remove parenthesis and simplify Sometimes this rule for the product of two binomials is called FOIL method. The Distributive Law can be generalized as: that is, you add the product of every term in the first parenthesis times every term in the second one. Ex 5: Remove parenthesis and simplify Ex 6: Remove parenthesis and simplify  Ex 7: Remove parenthesis and simplify  If we rewrite the equation as a · b + a · c = a · (b + c), then this means we factor the common factor out, transforming the addition into multiplication. This procedure is very useful in factoring polynomial. Ex 8: Factor and simplify For more example of factoring, click here.