Algebraic expressions represent unknown values using letters or variables without specifying their actual values. They can consist of variables, constants, and coefficients. Muhammad ibn Musa al-Khwarizmi introduced algebraic expressions in his book "The Compendious Book on Calculation by Completion and Balancing" in the 9th century. There are different types of algebraic expressions including monomial, binomial, and polynomial expressions. Algebraic expressions are used in mathematics, computer programming, and economics to solve equations and determine values like revenue and costs. They can be added, subtracted, and factored.

1. MATHEMATICS
What is it?
History
Types
Factors
Significance
Example
Adding and
Subtracting
Algebraic Expressions

3. WHAT ARE
ALGEBRAIC
EXPRESSIONS

4. Algebraic expressions are the
idea of expressing num bers using
letters or alphabets without
specifying their actual values. The
basics of algebra taught us how to
express an unknown value using
letters such as x, y, z, etc.
WHAT
IS IT

5. These letters are called here as
variables. An algebraic expression
can be a com bination of both
variables and constants. Any value
that is placed before and m ultiplied
by a variable is a coefficient.
WHAT
IS IT

6. HISTORY

7. HISTORY
Muhammad ibn Musa al-
Khwarizmi was a Persian
mathematician who wrote
a book named Kitab Al
Muhtasar fi Hisab Al
Gabr Wa I Muqabala

8. HISTORY
In the Arabic language
and when translated into
English it says " The
Compendious Book on
Calculation by
Completion and
Balancing"

9. from which the
word ALGEBRA was
derived. The book
provides a systematic
solution for linear and
quadratic equations.

10. TYPES OF
ALGEBRAIC
EXPRESSIONS

11. MONOMIAL EXPRESSIONS
An algebraic expression which is having
only one term is known as a monomial.
Examples of monomial expressions
include 3x4, 3xy, 3x, 8y, etc.

12. BINOMIAL EXPRESSIONS
A binomial expression is an algebraic
expression which is having two terms, which
are unlike.
Examples of binomial include 5xy + 8, xyz +
x3, etc.

13. In general, an expression with more
than one term with non-negative
integral exponents of a variable is
known as a polynomial.
Examples of polynomial expression
include ax + by + ca, x3 + 2x + 3,
etc.
POLYNOMIAL
EXPRESSIONS

14. SIGNIFICANCE

15. SIGNIFICANCE
Algebraic expressions are used in
solving different and complex equations
in mathematics. Algebraic expressions
can be seen in computer programming,
for example, they are used for tasks of
inference. Algebraic expressions are
used in economics to find out the
revenue, cost, etc.

16. EXAMPLE

17. In example to what and how to
solve algebraic expressions

18. FACTORS

19. FACTORING ALGEBRAIC
EXPRESSIONS
A factor in an expression is something
that is multiplied by something else. It
can be a number, variable, term or any
other longer expression. For example,
the factors of 2xy are 2, x and y. For
example if 3xy is a term, then its
factors are 3, x and y.

20. ADDING AND
SUBTRACTING

21. ADDING AND SUBTRACTING
ALGEBRAIC EXPRESSIONS
We can add and subtract like terms easily.
Example: Add 3x + 5y – 6z and x – 4y + 2z.
By adding both the expressions we get;
(3x + 5y – 6z) + (x – 4y + 2z)

22. ADDING AND SUBTRACTING
ALGEBRAIC EXPRESSIONS
Separating the like terms and adding them
together:
(3x + x) + (5y – 4y) + (-6z + 2z)
4x + y – 4z