The area expression fits the identity template of x square – 2xy + y square. Since 25a square is (5a) square and 9b square is (3b) square, it factors into the product of two identical binomial dimensions.
Find possible expressions for the length and breadth of the rectangle whose area is 25a square – 30ab + 9b square
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To find the dimensions of the rectangle, we look for the factors of the given quadratic area polynomial. The expression matches the perfect square subtraction identity. The first term 25a square is the square of 5a and the last term 9b square is the square of 3b. The middle term minus 30ab represents minus two times 5a times 3b. Therefore, it factors completely into (5a – 3b) square, giving the possible side lengths.
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/