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Using the identity (a + b) square = a square + 2ab + b square, expand (7x + 4y) square

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We apply the identity by substituting a = 7x and b = 4y. Squaring both individual terms and calculating twice their product gives us the terms 49x square, 56xy, and 16y square.

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  1. To expand this expression, we use the algebraic identity for the square of a sum. We assign the value 7x to a and 4y to b. Squaring 7x gives 49x square, and squaring 4y gives 16y square. The middle term is found by multiplying two by 7x and 4y, which results in 56xy. Combining these three parts gives the final expanded polynomial 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/

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