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RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.2) Exercise 7.2

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RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.2) Exercise 7.2 - Free PDF

Free PDF download of RD Sharma Class 8 Solutions Chapter 7 - Factorization Exercise 7.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 7 - Factorization Ex 7.2 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams. You can also register Online for Class 8 Science tuition on Vedantu.com to score more marks in the CBSE board examination. Students can also download NCERT Solution PDF for all subjects to prepare for their forthcoming exams.

RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.2)

Introduction to RD Sharma Class 8 Chapter 7- Factorization

Factorization is the seventh Chapter of class 8 RD Sharma in which students learn about the methods of breaking the arithmetic algebraic expressions into their factors’ products. In simple terms, factorization means breaking a number into possible smaller numbers which when multiplied together gives the original number. In the chapter ‘Factorization’ students learn about different methods of factorization and division of algebraic expressions.


Students will learn about various topics like 

  • Factorization using common factors

  • factorization of algebraic expressions by regrouping terms, 

  • factorization of algebraic expressions using identities and list of identities which are used to factorize algebraic expressions 


Sections of RD Sharma Class 8 Chapter 7- Factorization

Topic

Sub-Topic

Introduction 

Factors of Natural Number

Factors of Algebraic Expressions

What is Factorization

Method of Common Factors

Factorization by Regrouping Terms

Factorization using Identities

Factors of the Term

Division of Algebraic Expressions

Division of a monomial by another monomial

Division of a polynomial by a monomial

Division of a polynomial by a polynomial

Finding the Error

Finding the Error


List of exercises of RD Sharma Class 8 Chapter 7- Factorization

Exercise

Page No

7.1

7.3

7.2

7.5

7.3

7.7

7.4

7.12

7.5

7.17

7.6

7.22

7.7

7.27

7.8

7.30

7.9

7.32


Important Formulas of RD Sharma Class 8 Chapter 7- Factorization

While studying the Factorization Chapter in Class 8, students should have the following formulas in mind:

  1. (a+b)2=a2+2ab+b2

  2. (a-b)2=a2-2ab+b2

  3. (a+b)(a-b)=a2-b2

  4. (x+a)(x+b)=x2+(a+b)x+ab

  5. (x+a)(x-b)=x2+(a-b)x-ab

  6. (x-a)(x+b)=x2+(b-a)x-ab

  7. (x-a)(x-b)=x2-(a+b)x+ab

  8. (a+b)3=a3+b3+3ab(a+b)

  9. (a-b)3=a3-b3-3ab(a-b)


Important Facts About Square Roots for Class 8- Chapter Factorization

  • A number when multiplied by itself gives the square root of that number

  • The square root of an even number is even and an odd number is odd.

  • The numbers that end in 2,3,7,8, 0, and 5(except 25) are not squares of any number.

  • The numbers that end in 1, 4, 6, 9, 00, and 25 can or cannot be square roots.

  • The square roots always end in the numbers 1, 4, 6, 9, 00, or 25.


Important Facts About Cube Roots for Class 8- Chapter Factorization

  • A number when multiplied twice by itself gives the cube root of that number.

  • The cube root of an even number is even and an odd number is odd.

  • The numbers that end in 1,2,3,4,6,7,8,9,000,125,375,625 and 825 can or cannot be cube roots.

  • The cube root always ends in the numbers 1,2,3,4,6,7,8,9,000,125,375,625 or 825.

  • The difference between cube roots of two consecutive numbers is one more than three times their products.

FAQs on RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.2) Exercise 7.2

1. What are the most important Chapters for Class 8 that should not be skipped?

Chapters

Topics

Rational Numbers

Additive and Multiplicative Identities for Rational Number

Distributive Property of Multiplication

Find out the Rational Numbers between given rational numbers

Linear Equations in One Variable

Linear Equations that contains Linear Expressions on Both Sides

Equations that can be reduced to Linear Form

Understanding Quadrilaterals

Angle Sum of Property of Polygons

Sides of a Parallelogram Properties

Angles of a Parallelogram Properties

Diagonals of a Parallelogram Properties

Practical Geometry

Construction of Special Quadrilaterals

Squares and Square roots

Pythagorean Triplets

Prime Factorisation Method of Finding Square Roots

Square roots of Perfect Squares by Division Method

Cubes and Cube Roots

Prime Factorisation Method of Finding Cube Roots

Mensuration

Area of Polygons

Surface Area of Cubes and Cuboids

Surface Area of Right Circular Cylinders

Volume of Cubes and Cuboids

Volume of Right Circular Cylinders

Exponents and Powers

Numbers with Negative Exponents

Laws of Exponents with Integers

2.What is Prime Factorization?

The way to express numbers as products of their own prime factors is known as Prime Factorization. It is the process to write the number as the product of its prime numbers. Prime numbers are the ones that exactly have two factors, one of them is 1 and the other is the number itself.


For example, if we take the number 40, we know that 40=10 x 4 is not a prime number. Both the numbers 10 and 4 can be further factorized as 5 x 2 and 2 x 2 respectively. Here both the numbers 5 and 2 are prime numbers.


Therefore, Prime Factorization of 40 will be 5 x 2 x 2 x 2 which is 5 x 23.


Further, there are two ways Prime Factorization can be done-

  1. Using Factor Tree Method

  2. Using Division Method

To learn more about Factorization students check out Vedantu where the topics are explained by top subject experts and in a step-by-step manner.