Property 6 
This is a combination
of Properties 3 and 5: 
.
Alfi Blog
Januari 22, 2026
Admin
Bandung Indonesia
Property 6
This is a combination
of Properties 3 and 5: .
When the first term is not x2, see if you can factor out the
coefficient of x2 If you can,
then you are left with a quadratic whose first term is x2. For
example each term in 2x2 + 16x – 18 is divisible by 2:
Alfi Blog
Januari 21, 2026
Admin
Bandung Indonesia
When the first term is not x2, see if you can factor out the
coefficient of x2 If you can,
then you are left with a quadratic whose first term is x2. For
example each term in 2x2 + 16x – 18 is divisible by 2:
Adding/Subtracting Fractions
When adding fractions
with variables in one or more denominators, the LCD will have each variable (or
algebraic expression) to its highest power as a factor. For example, the LCD
for 
.
Alfi Blog
Januari 21, 2026
Admin
Bandung Indonesia
Adding/Subtracting Fractions
When adding fractions
with variables in one or more denominators, the LCD will have each variable (or
algebraic expression) to its highest power as a factor. For example, the LCD
for .
These
properties also work with algebraic expressions.
Alfi Blog
Januari 20, 2026
Admin
Bandung Indonesia
These
properties also work with algebraic expressions.
Exponents and Roots
The
expression 4x is shorthand for x + x + x + x, that is x added to itself four
times. Likewise x4 is
shorthand for x · x · x · x—x multiplied by itself four times. In x4,
x is called the base and 4 is the power or exponent. We say ‘‘x to
the fourth power’’ or simply ‘‘x to
the fourth.’’ There are many useful exponent properties. For the rest of the
chapter, a is a nonzero number.
Alfi Blog
Januari 19, 2026
Admin
Bandung Indonesia
Exponents and Roots
The
expression 4x is shorthand for x + x + x + x, that is x added to itself four
times. Likewise x4 is
shorthand for x · x · x · x—x multiplied by itself four times. In x4,
x is called the base and 4 is the power or exponent. We say ‘‘x to
the fourth power’’ or simply ‘‘x to
the fourth.’’ There are many useful exponent properties. For the rest of the
chapter, a is a nonzero number.
.
.