The RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions is based on Algebraic Identities. Students will get to learn about these expressions in detail. In this article, we will explain about using Algebraic Identities in the problems. Our experts prepare the questions in the PDF we attached below with easy solutions.
As we know, algebra is the part of Maths, to represent the quantities and number the several symbols and letters will be used in the form of formulas and equations. It is compulsory for the students to learn all the formulas and should have the knowledge when to use the particular formula in the questions.
Learn about RD Sharma Class 9 Chapter 4- Algebraic Identities
Download RD Sharma Chapter 9 4 Class 9 Maths Exercise 4.1 Solutions PDF
Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise 4.1
Important Definition RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions
RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions is based on the following formulas-
Look down for some examples based on the formulas of algebraic identities mentioned above-
Ques)- (3p – 1/p)²
Solution- (3p – 1/p)²
= Algebraic Identity- (a-b)² = a² – 2ab + b²
= (3p – 1/p)² = (3p)² – (2 x 3p x 1/p) + (1/p)²
= 9p² – 6 + 1/p²
Ques)- (3x + y) (3x – y)
Solution- (3x + y) (3x – y)
= Algebric Identity- (a + b) (a – b) = a² – b²
= (3x + y) (3x – y) = 3x² – y²
= 3x² – y²
Ques)- 175 x 175 +2 x 175 x 25 + 25 x 25
Solution- 175 x 175 +2 x 175 x 25 + 25 x 25
= Algebraic Identity- a² + 2ab + b² = (a+b)²
= (175)² + 2 (175) (25) + (25)²
= (175 + 25)²
= (200)²
= 40000
Benefits of RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions
Go to the following points to know the Benefits of the RD Sharma Chapter 4 Class 9 Maths Exercise 4.1 Solutions-
- The solutions we have prepared in the above PDF is based on the NCERT Syllabus with detailed information.
- With the help of RD Sharma, students will get to learn tips and tricks to solve the questions by applying algebraic identities.
- The answers to the questions are presented organized stepwise in an easy way.
Frequently Asked Questions (FAQs)
Ques 1- How many algebraic identities are there?
Ans)- There are majorly four algebraic identities. The algebraic identities are used by using basic formulas mentioned below-
Ques 2- What is algebraic identity?
Ans)- An algebraic identity is an identity that exists for any values of its variables.
Ques 3- Are all identity equations?
Ans)- An equation satisfied for all variable values determining the expressions is termed as an identity. So, the identity is a unique case of an equation.
In other words, all identities can be equations, but not all equations will be identities.