Algebraic Expression
Algebraic Expression
Algebra is the most important and interesting topic of mathematical world. It starts from junior
grades and goes up to college level grades.
Along with this sometimes algebra problems become complex and tough. We al know that
when we are moving towards higher education, things are getting tougher and more complex.
To reduce this complexities student need a daily practice, which will help in getting some
confidence.
Lets discuss about the basic concept of Algebra. Algebra is a branch of mathematics which
helps in studying the rules of operations and relations.
In a simple mathematical manner we can say that It is an area of mathematics in which letters
and symbols are used in place of numbers and quantities to form an equation and formula.
Before proceeding further, let's talk about equation. An equation is a mathematical expression
which shows the equality of two expressions. For example 2x + y = 6.
Now we are going to discuss about Algebraic expressions. Algebraic expressions is basical y
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an expression having one or more variables made up of signs and symbols of algebra.
Symbols can be Arabic numerals, literal numerals, or mathematical operators.
Let just take one Algebra problems to understand it better. 3x -- z = c here x and z are the
variables, c is a constant and 3 is a coefficient of x.
Algebra also stands high in 8th Grade Math as many other topics of mathematics like
fractions, geometry, trigonometry etc.
An algebraic expression can be of three types, named as Monomial, Binomial and Trinomials.
Algebraic expression having single term known as Monomial and expression with two terms
are known as Binomial whereas expressions with more than two terms or having three terms
are known as Trinomials.
Examples xy = monomial, x -- 7y : Binomial, x + 2y -- c : Trinomial
Terms are of two types Like terms or Unlike terms. Terms that has the same power of the
same variables are called Like terms whereas the terms that do not contain the same power
of the same variables are cal ed unlike terms.
Fol owing steps are used to solve an Algebraic expressions: Firstly remove all the fractions in
the equation Then remove the parentheses .
Combine al the like terms so that we get all the variables and terms together. Move all the
variable terms by adding or subtracting on both sides of the equal sign so the variable terms
are al on one side of the equal sign. And finally if there is any multiplication sign then remove
it by dividing.
Example 1
Compute the factors for the expression x2+ 56x+ 768.
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Solution:
The given expression is x2+ 56x+ 768.
Step 1: x2+ 56x+ 768 = x2+24x+ 32x+ (24x 32)
Step 2: x2+ 56x+ 768 = x(x+24) + 32(x +24)
Step 3: x2+ 56x+ 768 = (x+24) (x+32)
Step 4: x+24 and x+32
The factors for the given expression x2+ 56x+ 768 are (x +24) and (x +32).


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