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

Last updated date: 09th Aug 2024
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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 NumberFactors of Algebraic Expressions What is Factorization Method of Common FactorsFactorization by Regrouping TermsFactorization using IdentitiesFactors of the Term Division of Algebraic Expressions Division of a monomial by another monomialDivision of a polynomial by a monomialDivision 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 NumberDistributive Property of MultiplicationFind out the Rational Numbers between given rational numbers Linear Equations in One Variable Linear Equations that contains Linear Expressions on Both SidesEquations that can be reduced to Linear Form Understanding Quadrilaterals Angle Sum of Property of PolygonsSides of a Parallelogram PropertiesAngles of a Parallelogram PropertiesDiagonals of a Parallelogram Properties Practical Geometry Construction of Special Quadrilaterals Squares and Square roots Pythagorean TripletsPrime Factorisation Method of Finding Square RootsSquare roots of Perfect Squares by Division Method Cubes and Cube Roots Prime Factorisation Method of Finding Cube Roots Mensuration Area of PolygonsSurface Area of Cubes and CuboidsSurface Area of Right Circular CylindersVolume of Cubes and CuboidsVolume of Right Circular Cylinders Exponents and Powers Numbers with Negative ExponentsLaws 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.