This matches the three-term identity where the term containing variable b is negative because both cross-product terms that include b have a minus sign in the expression.
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This matches the three-term identity where the term containing variable b is negative because both cross-product terms that include b have a minus sign in the expression.
To factor this six-term polynomial, we look at the signs of the products to find which base value carries the negative sign. The perfect square bases are 3a, b and 2c. We notice that the terms 6ab and 4bc are negative, while 12ac is positive. Since the negative components both contain the variable b, the base associated with b must be negative. This gives the grouped factor (3a – b + 2c) square.
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/