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Asked: 2026-06-20T03:51:35+00:00 In:

Fill in the blanks to complete the following identities: 10x square – 11x – 6 = (2x – ) ( + 2)

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We split the middle term minus 11x into minus 15x plus 4x. Factoring by grouping yields the two expressions, filling the blanks with the number 3 and the term 5x.

10x square - 11x - 6 = (2x - ) ( + 2)class 9 maths chapter 4 exploring algebraic identities solutionclass 9 maths exercise 4.1 to 4.5 all solutions – exploring algebraic identitiesncert class 9 maths ganita manjari chapter 4 solutions
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    1. We solve for the blanks by splitting the middle term of the quadratic expression. We need two numbers that add up to minus 11 and multiply to minus 60. These numbers are minus 15 and positive 4. This transforms the polynomial into 10x square – 15x + 4x – 6. Grouping into pairs gives 5x(2x – 3) + 2(2x – 3). This gives the complete factored form matching the blanks perfectly.

       

      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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