We rewrite 64 as 60 + 4 to use the identity with a = 60 and b = 4. Summing the squares of 60 and 4 with their double product yields 4096.
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To find this value using algebra, we break the number 64 down into 60 + 4. This lets us use the identity with a equal to 60 and b equal to 4. The square of 60 is 3600, and the square of 4 is 16. The middle term is two times 60 times 4, which equals 480. Adding 3600, 480, and 16 together results in 4096.
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/