The polynomial matches the identity template a square – 2ab + b square. Since 16s square is (4s) square and 25t square is (5t) square, it condenses directly into (4s – 5t) square.
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We factor this quadratic expression by recognizing the underlying perfect square trinomial pattern. The first term 16s square is the square of 4s and the second term 25t square is the square of 5t. The middle term has a minus sign and is exactly equal to minus two multiplied by 4s multiplied by 5t, which equals minus 40st. This matches the subtraction identity, yielding the factor (4s – 5t) 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/