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

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

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.