Theory:

Till now, we learned how to add, subtract, and multiply algebraic expressions.
 
Now, we can learn how to use basic operation "division" on algebraic expressions. Division and multiplication are inverses of each other, which can be understood from the below example.
Example:
If \(10\) people need \(2\) water bottle each, then, the total number of water bottles needed \(= 10 × 2 = 20\) bottles.
 
If \(20\) water bottles are available and it has to be shared equally among \(10\) people, then the number of bottles each person can get \(= 20 ÷ 10 = 2\) bottles.
 
If \(4x^3-2x^2\) number of papers are equally distributed to \(2x\) number of people, then the number of papers each person can get \(= (4x^3-2x^2) ÷ (2x)\) papers.
 
Do you know how to solve this?
 
This involves the division of algebraic expression by another expression.
There are four ways to divide an algebraic expression by another expression:
 
i) Dividing a monomial by monomial
 
ii) Dividing a polynomial by monomial
 
iii) Dividing a binomial by monomial
 
iv) Dividing a polynomial by polynomial
 
First, two ways of division are explained clearly in the upcoming lessons. The next two ways of dividing an algebraic expression by another algebraic expression will be discussed later.