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The FOIL method is a special case of a more general method for multiplying algebraic expressions using the distributive law. The word FOIL was originally intended solely as a mnemonic for high-school students learning algebra. The term appears in William Betz's 1929 text Algebra for Today, where he states: [2]
To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted). If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks ...
If the expression in parentheses may be calculated, that is, if the variables in the expression in the parentheses are known numbers, then it is simpler to write the calculation +. and juxtapose that new number with the remaining unknown number. Terms combined in an expression with a common, unknown factor (or multiple unknown factors) are ...
In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
The strike is a challenge to Amazon's operations as it races to fulfill orders during its busiest season of the year, although union-represented facilities represent only about 1% of Amazon's ...
By induction on k, it can be shown that the length [5] of each expression R k ij is at most 1 / 3 (4 k+1 (6s+7) - 4) symbols, where s denotes the number of characters in Σ. Therefore, the length of the regular expression representing the language accepted by M is at most 1 / 3 (4 n+1 (6s+7)f - f - 3) symbols, where f denotes ...
The NFL has fined Kansas City Chiefs tight end Travis Kelce $14,069 for "Unsportsmanlike Conduct (use of prop)" for his tribute to Tony Gonzalez during the team's 29-10 victory over the Pittsburgh ...
These easy New Year's appetizer recipes, like fondue bites and shrimp cocktail, will keep the party going all night as you ring in New Year 2025.