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Factor using suitable identities: p square/16 – 2 + 16/p square

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This expression matches the identity template a square – 2ab + b square. The middle variable terms cancel out completely when multiplying p/4 and 4/p, leaving only the constant integer minus 2.

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  1. We factor this variable fraction expression by recognizing the underlying square identity. The first term is the square of p/4, and the final term 16/p square is the square of 4/p. The middle term is negative, and when we calculate two times p/4 times 4/p, the variables cancel out perfectly to leave just the number two. This gives us the final factored expression (p/4 – 4/p) 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/

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