We express 27 as 30 – 3 and utilize the subtraction square identity. Squaring the terms and subtracting their double cross-product leaves the final calculation of 729.
Select and use the identity that will help you to find the product without multiplying directly: (27) square
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We evaluate this square by rewriting 27 as a subtraction expression, 30 – 3. This matches our subtraction square identity with a equal to 30 and b equal to 3. The square of 30 is 900 and the square of 3 is 9. The middle product term to subtract is two times 30 times 3, which equals 180. Computing 900 minus 180 plus 9 yields 729.
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/