NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

 

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NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

The topic is introduced to study about the application of algebraic terms or application of variables in various kinds of scenarios. NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities will give you a detailed analysis and solution for every single question covered in the NCERT and also it makes your task easy while solving the problems.

Algebra is the most important branch of mathematics. In which we learn the application of variable and how equation forms and split using different kinds of techniques.In NCERT Class 8 Maths Chapter 9 Algebraic Expressions and Identities we will learn about finding coefficient of the variable in equation, product of the equation, division of the equation, subtraction of the equation and creating quadratic equation by the product of its two roots.  Most of the students don't feel better while dealing with algebraic part of mathematics but if you go through some basics and practise lots of questions related to the concept then the algebra would become your one of the strongest parts in mathematics. It requires much attention then that of other mathematical sub topics.

Topics of NCERT for Class 8 Maths Chapter 9 - Algebraic Expressions and identities:-

9.1 What are Expressions?

9.2 Terms, Factors and Coefficients

9.3 Monomials, Binomials and Polynomials

9.4 Like and Unlike Terms

9.5 Addition and Subtraction of Algebraic Expressions

9.6 Multiplication of Algebraic Expressions: Introduction

9.7 Multiplying a Monomial by a Monomial

9.7.1 Multiplying two monomials

9.7.2 Multiplying three or more monomials

9.8 Multiplying a Monomial by a Polynomial

9.8.1 Multiplying a monomial by a binomial

9.8.2 Multiplying a monomial by a trinomial

9.9Multiplying a Polynomial by a Polynomial

9.9.1 Multiplying a binomial by a binomial

9.9.2 Multiplying a binomial by a trinomial

9.10 What is an Identity?

9.11 Standard Identities

9.12 Applying Identities

Few important identities explained in the NCERT class 8 chapter 9 Algebraic Expressions and identities are listed below.

1. (a+b)^2=(a^2+2ab+b^2)

we can write

 (a+b)^2=(a+b)(a+b)

This is simplified as follows

(a+b)(a+b)=a\times a+a\times b+a\times b+b\times b

Now add each term

a\times a+a\times b+a\times b+b\times b=a^2+ab+ab+b^2

                                                                =a^2+2ab+b^2

This is how we obtained the identity

(a+b)^2=(a^2+2ab+b^2)

Important identities explained in the NCERT class 8 chapter 9 Algebraic Expressions and identities 

2. (a-b)^2=(a^2-2ab+b^2)

3. (a-b)(a+b)=a^2-b^2

Try to find out how the above identities are formed by yourself.

Where we will use this identity? To understand these let's see an example

Example: What is the value of 105\times105 ?

Solution: Instead of multiplying it directly we will now use identity

105\times105=(100+5)(100+5)=(100+5)^2 this is of the form (a+b)^2

we know that (a+b)^2=(a^2+2ab+b^2)

here a=100, b =5 so,

(100+5)^2=(100^2+2\times100\times5+5^2)=10000+1000+25=11025

This is how we will use identities to solve problems as mentioned above

 NCERT Solutions to the exercises of Chapter 9: Algebraic Expressions and Identities 

 

NCERT Solutions For Class 8 Maths: Chapter-wise

Chapter -1 Rational Numbers             
Chapter -2 

Linear Equations in One Variable

Chapter-3

Understanding Quadrilaterals

Chapter-4

Practical Geometry

Chapter-5

Data Handling

Chapter-6

Squares and Square Roots

Chapter-7

Cubes and Cube Roots

Chapter-8

Comparing Quantities

Chapter-10

Visualizing Solid Shapes

Chapter-11

Mensuration

Chapter-12

Exponents and Powers

Chapter-13

Direct and Inverse Proportions

Chapter-14

Factorization

Chapter-15

Introduction to Graphs

Chapter-16

Playing with Numbers

NCERT Solutions For Class 8: Subject-Wise

 

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