We substitute a = 1/x and b = 1/y into the identity. Finding the squares of these fractional variables and combining their cross-product gives the final simplified rational terms.
Using the identity (a + b) square = a square + 2ab + b square, expand (1/x + 1/y) square
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This problem requires expanding a expression containing two reciprocal variables. By setting a as 1/x and b as 1/y, we square each part to obtain 1/x square and 1/y square respectively. The middle term of the identity is two times 1/x times 1/y, which merges into the fraction 2/xy. Writing the three resulting terms together gives the final complete expression.
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/