We match this with the identity a square + 2ab + b square. Here, 64p square is (8p) square and 4/9 q square is (2/3 q) square, which simplifies cleanly to the factor (8p + 2/3 q) square.
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We match this with the identity a square + 2ab + b square. Here, 64p square is (8p) square and 4/9 q square is (2/3 q) square, which simplifies cleanly to the factor (8p + 2/3 q) square.
To factor this fractional expression, we examine the first and third terms. The first term 64p square is a perfect square of 8p. The third term 4/9 q square is a perfect square of 2/3 q. Checking the middle term, two times 8p times 2/3 q equals 32/3 pq. Since it matches the template completely, it forms the perfect square binomial factor (8p + 2/3 q) 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/