We apply the identity with a = x and b = 1/2y. The middle term simplifies because the number two in the formula cancels out with the denominator two of the fraction.
Using the identity (a + b) square = a square + 2ab + b square, expand (x + 1/2y) square
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We solve this expansion by setting a equal to x and b equal to 1/2y in our identity formula. The square of the first term is x square, and the square of the reciprocal term is 1/4y square. For the middle term, we calculate two times x times 1/2y. During this multiplication, the number two cancels out completely, leaving x/y as the simplified middle term.
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/