- Books Name
- class 8 th Mathematics Book
- Publication
- ReginaTagebücher
- Course
- CBSE Class 8
- Subject
- Mathmatics
Division of Algebraic Expressions
Introduction to division of algebraic expressions
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
Division of an algebraic expression by a monomial
i) Division of a monomial by another monomial:
A monomial 40xy 2 is divided by another monomial 10y will result in 40xy2 /10y=4xy.
The result of dividing a monomial by another monomial will be a monomial.
ii) Division of a polynomial by a monomial:
Divide each term of the polynomial by the monomial to get the result of the division.
A polynomial −12xyz 3+60 is divided by a monomial 4z will result in: 3xyz 2+15z
Dividing any polynomial by a monomial will result in a polynomial.
The relation between the power of exponents and division of an algebraic expression by another algebraic expression:
The above law of exponents can be used to divide an algebraic expression by another, for instance: 4xy 2/2y=2xy 2−1 =2xy
Finding error
Let us look at the division of algebraic expression: (3x+2)/2=3x
when the numerator is connected by the terms we cannot directly cancel the values from numerator and denominator.
Example:
Let us look for some general error that we have done while solving the exercises involves algebraic expressions.
1. 3(x+2)=3x+2 - In this case, we need to apply distributive law to find the result. The number 3 should be multiplied over both the values inside the bracket. That is 3x+6.
2. 6x+2y=8xy - In this case, we cannot add the terms with different variable.