More Factoring
An algebraic
expression raised to different powers might appear in different terms. Factor
out this expression raised to the lowest power.
Alfi Blog
Februari 11, 2026
Admin
Bandung Indonesia
More Factoring
An algebraic
expression raised to different powers might appear in different terms. Factor
out this expression raised to the lowest power.
The associative and distributive properties can be confusing. The
associative property states ðabÞc (ab)c = a(bc). This property says that when multiplying three (or more)
quantities you can multiply the first two then the third or multiply the second
two then the first. For example, it might be tempting to write 
. But 
. The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
Alfi Blog
Februari 10, 2026
Admin
Bandung Indonesia
The associative and distributive properties can be confusing. The
associative property states ðabÞc (ab)c = a(bc). This property says that when multiplying three (or more)
quantities you can multiply the first two then the third or multiply the second
two then the first. For example, it might be tempting to write . But . The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
Factoring a negative
quantity has the same effect on signs within parentheses as distributing a
negative quantity does—every sign changes. Negative quantities are factored in
the next examples and practice problems.
Alfi Blog
Februari 09, 2026
Admin
Bandung Indonesia
Factoring a negative
quantity has the same effect on signs within parentheses as distributing a
negative quantity does—every sign changes. Negative quantities are factored in
the next examples and practice problems.
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.
Alfi Blog
Februari 08, 2026
Admin
Bandung Indonesia
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
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.
Alfi Blog
Februari 07, 2026
Admin
Bandung Indonesia
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.
. But 
. The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
, 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.