We rewrite 97 as 100 – 3 and apply the subtraction square identity. Squaring 100 and 3, then subtracting twice their product gives the plain numerical solution.
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
To calculate this square without direct multiplication, we express 97 as the subtraction form 100 – 3. We apply the binomial identity where a is 100 and b is 3. The square of 100 is 10000 and the square of 3 is 9. The middle product term to subtract is two times 100 times 3, which equals 600. Computing 10000 minus 600 plus 9 results in 9409.
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/