We change 41 into 40 + 1 and apply the addition square identity. Squaring 40 and 1, then adding twice their product gives the plain numerical solution.
Select and use the identity that will help you to find the product without multiplying directly: (41) square
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To find this square value using an identity shortcut, we express 41 as the sum of 40 and 1. We then apply the binomial identity where a is 40 and b is 1. The square of 40 is 1600 and the square of 1 is 1. The middle term is two times 40 times 1, which equals 80. Adding 1600, 80 and 1 together gives 1681.
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/