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Select and use the identity that will help you to find the product without multiplying directly: (135) square

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We split 135 into 100 + 30 + 5 and expand it using the three-term identity. Summing the separate square values and their paired products provides the final answer.

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  1. We find this large square value by splitting 135 into a three-part addition expression, 100 + 30 + 5. This allows us to apply the three-term identity where a is 100, b is 30 and c is 5. The three individual squares are 10000, 900 and 25. The double cross-products are 6000, 300 and 1000. Summing all these evaluated values together gives 18225.

     

    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/

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