Algebraic expression

an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).For example, $3x^2 - 2xy + c$ is an algebraic expression. Since taking the square root is the same as raising to the power $\tfrac{1}{2}$ ,

$\sqrt{\frac{1-x^2}{1+x^2}}$

is also an algebraic expression.
Italic textterminology algebrac is an entegral expression that all non entegers and none negative numbers

1 – Exponent (power), 2 – Coefficient, 3 – term, 4 – operator, 5 – constant, $x, y$ - variables

Variables

By convention, letters at the beginning of the alphabet (e.g. $a, b, c$ ) are typically used to represent constants, and those toward the end of the alphabet (e.g. $x, y$ and $z$ ) are used to represent variables. They are usually written in italics.

Exponents

By convention, terms with the highest power (exponent), are written on the left, for example, $x^2$ is written to the left of $x$ . When a coefficient is one, it is usually omitted (e.g. $1x^2$ is written $x^2$ ). Likewise when the exponent (power) is one, (e.g. $3x^1$ is written $3x$ ), and, when the exponent is zero, the result is always 1 (e.g. $x^0$ is always $1$ ).

Rational expressions

A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as

x 2 + 2 x + 4

. An irrational algebraic expression is one that is not rational, such as

\sqrt x + 4

MATHEMATICS MADE EASY

Sunday, 17 February 2013

MATHEMATICS MADE EASY

Algebraic expression

Variables

Exponents

Rational expressions