We split the middle term minus 4x into minus 7x plus 3x to factor the expression by grouping. Taking out common factors leaves (3x – 7) multiplied by (x + 1).
Fill in the blanks to complete the following identities: (_) (x + 1) = (3x square – 4x – 7)
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To find the missing binomial factor, we need to factorize the quadratic expression on the right side. We split the middle coefficient minus 4 into minus 7 and positive 3 because their product matches the product of 3 and minus 7. Rewriting the expression gives 3x square + 3x – 7x – 7. Grouping the terms gives 3x(x + 1) – 7(x + 1). Factoring out the common binomial yields the missing part, (3x – 7).
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/