We first take out the common constant factor 6 from the volume expression. This leaves a square – 4b square inside brackets, which breaks down further into (a + 2b)(a – 2b) using the difference of squares formula.
Find possible expressions for the length, breadth and height of the cuboid whose volume is 6a square – 24b square
Share
To find three dimensional expressions for a cuboid volume, we must fully factorize the given expression into three parts. First, we isolate the highest common integer factor, which is 6. This gives 6 multiplied by the binomial quantity a square – 4b square. The bracketed part is a difference of squares that expands into the linear components (a + 2b) and (a – 2b). These three distinct factors constitute the dimensions.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/