The NCERT solutions for class 8 Maths chapter 9 Algebraic Expressions and Identities are prepared by the subject experts in simple language. Students can get the NCERT textbook solutions PDF here.
The NCERT solutions for class 8 Maths chapter 9 Algebraic Expressions and Identities include topics like Terms, factors, and coefficients, monomials, binomials and more. Students must thoroughly understand this topic for their final examination. The NCERT solution guides the students to solve the questions in the NCERT books.
By solving these NCERT solutions, students can score higher marks in their final examinations.The NCERT solutions for class 8 Maths chapter 9 are mentioned in this article for students' reference. Moreover, all the Mathematical steps of solutions to different math problems are explained in a language easily comprehensible by the students.
Table of Contents
- NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities PDF Download
- NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities: Important Questions
- Topics Cover Under NCERT Solutions for Class 8 Maths Chapter 9
- Key Features of NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities
- Why is NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Important?
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities PDF Download
The NCERT solutions for class 8 Maths are prepared by the subject experts in a simple language. Therefore, the link for the class 8 Maths chapter 9 is below for students' reference.
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities | Download PDF |
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities: Important Questions
Algebraic Expressions and Identities are an important topic for the class 8 examination and the higher Mathematics study. With several identities, expressions, examples, and exercise questions, the algebraic expressions class 8 is lengthy.
Ex 9.5 Class 8 Maths Question 1.
Use a suitable identity to get each of the following products:
(i) (x + 3) (x + 3)
(ii) (2y + 5) (2y + 5)
(iii) (2a – 7) (2a – 7)
(iv) (3a – 1/2) (3a – 1/2)
(v) (1.1m – 0.4) (1.1m + 0.4)
(vi) (a2 + b2) (-a2 + b2)
(vii) (6x – 7) (6x + 7)
(viii) (-a + c) (-a + c)
(ix) (x/2 + 3y/4) (x/2 + 3y/4)
(x) (7a – 9b) (7a – 9b)
Solution:
Ex 9.5 Class 8 Maths Question 2.
Use the identity (x + a)(x + b) = x2 + (a + b)x + ab to find the following products.
(i) (x + 3) (x + 7)
(ii) (4x + 5)(4x + 1)
(iii) (4x – 5) (4x – 1)
(iv) (4x + 5) (4x – 1)
(v) (2x + 5y) (2x + 3y)
(vi) (2a2 + 9) (2a2 + 5)
(vii) (xyz – 4) (xyz – 2)
Solution:
Ex 9.5 Class 8 Maths Question 3.
Find the following squares by using the identities.
(i) (b – 7)2
(ii) (xy + 3z)2
(iii) (6x2 – 5y)2
(iv) (2/3 m + 3/2n)2
(v) (0.4p – 0.5q)2
(vi) (2xy + 5y)2
Solution:
Ex 9.5 Class 8 Maths Question 4.
Simplify:
(i) (a2 – b2)2
(ii) (2x + 5)2 – (2x – 5)2
(iii) (7m – 8n)2 + (7m + 8n)2
(iv) (4m + 5n)2 + (5m + 4n)2
(v) (2.5p – 1.5q)2 – (1.5p – 2.5q)2
(vi) (ab + bc)2 – 2ab2c
(vii) (m2 – n2m)2 + 2m3n2
Solution:
Ex 9.5 Class 8 Maths Question 5.
Show that:
(i) (3x + 7)2 – 84x = (3x – 7)2
(ii) (9p – 5q)2 + 180pq = (9p + 5q)2
(iii) (4/3m – 3/4n)2 + 2mn = 16/9 m2 + 9/16 n2
(iv) (4pq + 3q)2 – (4pq – 3q)2 = 48pq2
(v) (a – b)(a + b) + (b – c) (b + c) + (c – a) (c + a) = 0
Solution:
Solution:
Topics Cover Under NCERT Solutions for Class 8 Maths Chapter 9
The other topics that the class 8 Maths chapter 9 consists of are mentioned below for students' reference. The NCERT solutions for class 8 Maths is mainly about polynomial-related problems. Some of the other topics are:
Topic No. | Topic Name | Topic No. | Topic Name |
9.1 | What are Expressions? | 9.8 | Multiplying a Monomial by a Polynomial |
9.2 | Terms, Factors and Coefficients | 9.8.1 | Multiplying a monomial by a binomial |
9.3 | Monomials, Binomials and Polynomials | 9.8.2 | Multiplying a monomial by a trinomial |
9.4 | Like and Unlike Terms | 9.9 | Multiplying a Polynomial by a Polynomial |
9.5 | Addition and Subtraction of Algebraic Expressions | 9.9.1 | Multiplying a binomial by a binomial |
9.6 | Multiplication of Algebraic Expressions: Introduction | 9.9.2 | Multiplying a binomial by a trinomial |
9.7 | Multiplying a Monomial by a Monomial | 9.10 | What is Identity? |
9.7.1 | Multiplying two monomials | 9.11 | Standard Identities |
9.7.2 | Multiplying three or more monomials | 9.12 | Applying Identities |
Key Features of NCERT Solutions for Class 8 Maths Chapter 9
There are many features of NCERT solutions for class 8 Maths chapter 9 Algebraic Expressions and Identities. Some of the few points are mentioned below for the students' reference.
- The NCERT provides the step by step solutions to every question mentioned in Chapter 9.
- The NCERT solutions are based on the latest syllabus pattern, which will help the candidates to score higher marks.
- The subject expert designs the class 8 Maths chapter 9.
- Students can also refer to the NCERT solutions to prepare for the final examination as well as for the competitive examinations.
Why is NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Important?
The NCERT solutions are crucial for candidates preparing for competitive exams or final examinations. Some of the important points students must consider are mentioned below.
- The NCERT provides the solution in a detailed form, which will boost the confidence level of the candidates.
- The NCERT solutions ensure that students have gone through all the questions given in NCERT given in NCERT.
- These solutions will help the candidates with last-minute revisions, and the preparation can be done easily.
- These NCERT solutions are prepared in easy language, making them understandable to the candidates.
- This solution also gives an idea to the candidates about the exam pattern and question paper design.
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