Alfi Blog

Alfi Blog

Alfi Blog


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Factoring

Factoring

The distributive property, , can be used to factor a quantity from two or more terms. In the formula , a is factored from (or divided into) ab and ac. The first step in factoring is to decide what quantity you want to factor from each term. Second write each term as a product of the factor and something else (this step will become unnecessary once you are experienced). Third apply the distribution property in reverse.

Adding/Subtracting Fractions

Adding/Subtracting Fractions

With the distributive property and the ability to combine like terms, the numerator of fraction sums/differences can be simplified. For now, we will leave the denominators factored.

Combining Like Terms

Combining Like Terms

Two or more terms are alike if they have the same variables and the exponents (or roots) on those variables are the same: 3x2y and 5x2y are like terms but 6xy and 4xy2 are not. Constants are terms with no variables. The number in front of the variable(s) is the coefficient—in 4x2y3, 4 is the coefficient. If no number appears in front of the variable, then the coefficient is 1. Add or subtract like terms by adding or subtracting their coefficients.

Distributing Multiplication over Addition and Subtraction - 2

Distributing negative quantities has the same effect on signs as distributing a minus sign: every sign in the parentheses changes.

Distributing Multiplication over Addition and Subtraction - 1

Sometimes you will need to ‘‘distribute’’ a minus sign or negative sign: . You can use the distributive properties and think of :

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