Example 16
Last updated at May 29, 2018 by Teachoo
Transcript
Example 16 Simplify the following expressions: (5 + 7) (2 + 5) (5 + 7) (2 + 5) = 5 (2 + 5) + 7 (2 + 5) = 5 2 + 5 5 + 7 2+ 5 7 = 10 + 5 5 + 2 7+ (5" " 7) = 10 + 5 5 + 2 7 + 35 Example 16 Simplify the following expressions: (ii) (5 + 5) (5 - 5) (5 + 5) (5 - 5) We know that, (a + b) (a-b) = a2 b2 Putting a = 5, b = 5 = 52 ( 5)2 = 25 5 = 20 Example 16 Simplify the following expressions: (iii) ( 3 + 7)2 ( 3 + 7)2 We know that (a + b)2= a2 + b2 + 2ab where a = 3 , b = 7 = ( 3)2 +( 7)2 + 2 3 7 = 3 + 7 + 2 (3 7) = 3 + 7 + 2 21 = 10 + 2 21 Example 16 Simplify the following expressions: (iv) ( 11 7) ( 11 + 7) ( 11 7) ( 11 + 7) We know that, (a + b) (a-b) = a2 b2 Putting a = 11, b = 7 = ( 11)2 ( 7)2 = 11 7 = 4
Chapter 1 Class 9 Number Systems
Ex 1.1,3
Important
Ex 1.1,4 Important
Ex 1.2,1 Important
Ex 1.2,3 Important
Example 7 Important
Example 9 Important
Example 10 Important
Ex 1.3,3 Important
Ex 1.3,8 Important
Ex 1.3,9 Important
Example 16 Important You are here
Example 19 Important
Ex 1.5,1 Important
Ex 1.5,2 Important
Ex 1.5,4 Important
Ex 1.5,5 Important
Example 21 Important
Ex 1.6,1
Ex 1.6,2 Important
Ex 1.6,3 Important
Class 9
Important Questions for Exam - Class 9
- Chapter 1 Class 9 Number Systems
- Chapter 2 Class 9 Polynomials
- Chapter 3 Class 9 Coordinate Geometry
- Chapter 4 Class 9 Linear Equations in Two Variables
- Chapter 5 Class 9 Introduction to Euclid's Geometry
- Chapter 6 Class 9 Lines and Angles
- Chapter 7 Class 9 Triangles
- Chapter 8 Class 9 Quadrilaterals
- Chapter 9 Class 9 Areas of parallelograms and Triangles
- Chapter 10 Class 9 Circles
- Chapter 11 Class 9 Constructions
- Chapter 12 Class 9 Herons Formula
- Chapter 13 Class 9 Surface Areas and Volumes
- Chapter 14 Class 9 Statistics
- Chapter 15 Class 9 Probability
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.