# CBSE, Class VIII, Mathematics Algebraic Expressions and Identities

Class 8 Algebraic Expressions and Identities NCERT Solutions and Exemplar Problem Solutions, also download free worksheets and assignments with important questions, get MCQs and get free concept notes and RS Aggarwal solutions. Access all study material free and download in pdf prepared based on latest guidelines, term examination pattern and blueprint issued by CBSE and NCERT

Click below for Class 8 Algebraic Expressions and Identities NCERT solutions, Exemplar Solutions, worksheets and assignments, NCERT books, MCQs, easy to learn concepts and study notes and other study material. Also get solutions for introduction to graphs chapter in PDF Form.

1. Expressions are formed from variables and constants.

2. Terms are added to form expressions. Terms themselves are formed as product of factors.

3. Expressions that contain exactly one, two and three terms are called monomials, binomials and trinomials respectively. In general, any expression containing one or more terms with non-zero coefficients (and with variables having non- negative exponents) is called a polynomial.

4. Like terms are formed from the same variables and the powers of these variables are the same, too. Coefficients of like terms need not be the same.

5. While adding (or subtracting) polynomials, first look for like terms and add (or subtract) them; then handle the unlike terms.

6. There are number of situations in which we need to multiply algebraic expressions: for example, in finding area of a rectangle, the sides of which are given as expressions.

7. A monomial multiplied by a monomial always gives a monomial.

8. While multiplying a polynomial by a monomial, we multiply every term in the polynomial by the monomial.

9. In carrying out the multiplication of a polynomial by a binomial (or trinomial), we multiply term by term, i.e., every term of the polynomial is multiplied by every term in the binomial (or trinomial). Note that in such multiplication, we may get terms in the product which are like and have to be combined.

10. An identity is an equality, which is true for all values of the variables in the equality. On the other hand, an equation is true only for certain values of its variables. An equation is not an identity.

11. The following are the standard identities:

(a + b) 2 = a2 + 2ab + b2 (I)

(a – b) 2 = a2 – 2ab + b2 (II)

(a + b) (a – b) = a2 – b2 (III)

12. Another useful identity is (x + a) (x + b) = x2 + (a + b) x + ab (IV)

13. The above four identities are useful in carrying out squares and products of algebraic expressions. They also allow easy alternative methods to calculate products of numbers and so on.

## Latest NCERT & CBSE News

Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning

### MCQ Question based CBSE examination

For 2021-22 CBSE has launched MCQ question-based examination for Term 1 & Term 2 board examinations. The entire syllabus has been divided into two parts each including 50% of the entire syllabus. To score well, students must practice as per the new CBSE term-wise...

### Score well in Class 12 English Boards Exam

12th Board exams are an important part of students' lives. The marks obtained in the board exam decide the college in which one can study. In class 12 the syllabus of each and every subject increases vastly and it is difficult to cover up every point. In English also...

### CBSE Class 10 Revised Syllabus

Last year CBSE had to reduce the syllabus because of the pandemic situation but it was not very effective because there were no examinations. This year to avoid any confusion and conflict, CBSE has decided to reduce the syllabus into term 1 and term 2. 50 percent of...

### How To Solve Unseen Passages In English

Unseen passages may contain one or many paragraphs. This is one of the important yet easy parts for a student to get marks. Students should thoroughly study and understand the passage to answer the related questions. The unseen passages are there just to test the...

### CBSE Board Examination Scheme of Assessment 2021 2022

A. Academic session to be divided into 2 Terms with approximately 50% syllabus in each term: The syllabus for the Academic session 2021-22 will be divided into 2 terms by following a systematic approach by looking into the interconnectivity of concepts and topics by...

### Moderation of Marks Class 11 and 12 Board Exams

The portal for moderation and finalization of results for Class-12 is being opened from 16.07.2021 to 22.07.2021. As Board has to declare the result latest by 31.07.2021, schools have been requested to follow the schedule strictly and complete the moderation within...

×