We express 205 as 200 + 5 and use our identity where a = 200 and b = 5. Calculating the individual parts and adding them up gives the final numerical answer.
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To calculate this value shortcut using algebra, we separate 205 into 200 + 5. This fits our identity template perfectly with a as 200 and b as 5. The square of 200 is 40000, and the square of 5 is 25. The intermediate term is two times 200 times 5, which equals 2000. Summing 40000, 2000, and 25 results in the final answer of 42025.
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/