The expression follows the pattern of a square + 2ab + b square. Since 9x square is (3x) square and 16y square is (4y) square, we can compress it directly into (3x + 4y) square.
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To factor this expression, we observe that it matches the standard identity template of a square + 2ab + b square. The first term 9x square can be written as (3x) square, and the last term 16y square can be written as (4y) square. The middle term 24xy perfectly represents two times 3x times 4y. Therefore, we group these parts together to get the final factored form which is (3x + 4y) 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/