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

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

ChaptersTopicsRational NumbersAdditive and Multiplicative Identities for Rational NumberDistributive Property of MultiplicationFind out the Rational Numbers between given rational numbersLinear Equations in One VariableLinear Equations that contains Linear Expressions on Both SidesEquations that can be reduced to Linear FormUnderstanding QuadrilateralsAngle Sum of Property of PolygonsSides of a Parallelogram PropertiesAngles of a Parallelogram PropertiesDiagonals of a Parallelogram PropertiesPractical GeometryConstruction of Special QuadrilateralsSquares and Square rootsPythagorean TripletsPrime Factorisation Method of Finding Square RootsSquare roots of Perfect Squares by Division MethodCubes and Cube RootsPrime Factorisation Method of Finding Cube RootsMensurationArea of PolygonsSurface Area of Cubes and CuboidsSurface Area of Right Circular CylindersVolume of Cubes and CuboidsVolume of Right Circular CylindersExponents and PowersNumbers with Negative ExponentsLaws of Exponents with Integers

RD Sharma Solutions

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

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:

(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
(a+b)(a-b)=a²-b²
(x+a)(x+b)=x²+(a+b)x+ab
(x+a)(x-b)=x²+(a-b)x-ab
(x-a)(x+b)=x²+(b-a)x-ab
(x-a)(x-b)=x²-(a+b)x+ab
(a+b)³=a³+b³+3ab(a+b)
(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-

Using Factor Tree Method
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.