Basic Algebra Formulas
Introduction
This page contains basic algebra formulas that are most commonly used. These formulas are categorized below:
Algebra Identities
Special Algebra Expansions
Roots of Quadratic Equation
Arithmetic Progression
Geometric Progression
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Algebra Identities
Difference of squares
Difference of cubes
Sum of cubes
Special Algebra Expansions
Formula for (a+b)
^{2}
and (a-b)
^{2}
Formula for (a+b)
^{3}
and (a-b)
^{3}
Roots of Quadratic Equation
Formula
Consider this quadratic equation:
Where
a
,
b
and
c
are the leading coefficients.
The roots for this quadratic equation will be:
Arithmetic Progression
Arithmetic progression
Consider the following arithmetic progression:
Where:
a
is the initial term
d
is the common difference
The
n
^{th}
term
The
n
^{th}
term,
T
_{n}
of the arithmetic progression is:
Sum of the first
n
term
The sum of the first
n
terms of the arithmetic progression is:
Geometric Progression
Geometric progression
Consider the following geometric progression:
Where:
a
is the scale factor
r
is the common ratio
The
n
^{th}
term
The
n
^{th}
term,
T
_{n}
of the geometric progression is:
The sum of the first
n
terms
The sum of the first
n
terms,
S
_{n}
is:
The sum to infinity
If
-1 < r < 1
, the sum to infinity,
S
_{∞}
is:
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