RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Operations on Algebraic Expressions 

RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1: Here we provided the RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 which focuses on operations with algebraic expressions.

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RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Overview

RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 PDF

RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 PDF

RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1 (Exercise 6A)

Add:

(Question 1) 8ab, – 5ab, 3ab, – ab

Solution:

(Question 2) 7x, – 3x, 5x, – x, – 2x

Solution:

(Question 3) 3a – 4b + 4c, 2a + 3b – 8c, a – 6b + c

Solution:

(Question 4) 5x – 8y + 2z, 3z – 4y – 2x, 6y – z – x and 3x – 2z – 3y

Solution:

(Question 5) 6ax – 2by + 3cz, 6by – 11ax – cz and 10cz – 2ax – 3by

Solution:

(Question 6) 2x ³ – 9x ² + 8, 3x ² – 6x – 5, 7x ³ – 10x + 1 and 3 + 2x – 5x ² – 4x ³

Solution:

(Question 7) 6p + 4q – r + 3, 2r – 5p – 6, 11q – 7p + 2r – 1 and 2q – 3r + 4

Solution:

(Question 8) 4x ² – 7xy + 4y ² – 3, 5 + 6y ² – 8xy + x ² and 6 – 2xy + 2x ² – 5y ^2.

Solution:

Subtract:

(Question 9) 3a ² b from – 5a ² b

Solution:

(Question 10) – 8pq from 6pq

Solution:

(Question 11) – 2abc from – 8abc

Solution:

(Question 12) – 16p from – 11p

Solution:

(Question 13) 2a – 5b + 2c – 9 from 3a – 4b – c + 6

Solution:

(Question 14) – 6p + q + 3r + 8 from p – 2q – 5r – 8

Solution:

(Question 15) x ³ + 3x ² – 5x + 4 from 3x ³ – x ² + 2x – 4

Solution:

(Question 16) 5y ⁴ – 3y ³ + 2y ² + y – 1 from 4y ⁴ – 2y ³ – 6y ² – y + 5

Solution:

(Question 17) 4p ² + 5q ² – 6r ² + 7 from 3p ² – 4q ² – 5r ² – 6

Solution:

(Question 18) What must be subtracted from 3a ² – 6ab – 3b ² – 1 to get 4a ² – 7ab – 4b ² + 1?

Solution: 3a ² – 6ab – 3b ² – 1 – 4a ² + 7ab + 4b ² – 1

(Question 19) The two adjacent sides of a rectangle are 5x ² – 3y ² and x ² + 2xy. Find the perimeter.

Solution: Perimeter of the rectangle = 2 [(5x ² – 3y ² ) + (x ² + 2xy)]

(Question 20) The perimeter of a triangle is 6p ² – 4p + 9 and two of its sides are p ² – 2p + 1 and 3p ² – 5p + 3. Find the third side of a triangle.

Solution: 6p ² – 4p + 9 – [(p ² – 2p + 1) + (3p ² – 5p + 3)]

Benefits of RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.1

• Clear Explanations: The solutions provide step-by-step explanations making it easier for students to understand the processes involved in solving algebraic expressions.
• Practice Opportunities: By working through the exercise students can practice simplifying and operations on algebraic expressions, which reinforces their learning and builds confidence.
• Conceptual Clarity: The solutions help clarify complex concepts related to algebraic operations, ensuring students grasp the foundational principles effectively.
• Error Correction: Detailed solutions highlight common mistakes and provide correct methodologies, helping students learn from errors and improve their problem-solving skills.
• Time Efficiency: With structured solutions students can quickly identify the correct approach to solving problems, saving time and improving exam preparation.