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Each symbol given below represents an algebraic expression: = 2x2 + 3y, = 5x2 + 3x, = 8y2 – 3x2 + 2x + 3y The symbols are then represented in the expression: - Mathematics

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Question

Each symbol given below represents an algebraic expression:

= 2x2 + 3y,  = 5x2 + 3x,  = 8y2 – 3x2 + 2x + 3y

The symbols are then represented in the expression:

Find the expression which is represented by the above symbols.

Sum

Solution

Given,  = 2x2 + 3y,  = 5x2 + 3x and   = 8y2 – 3x2 + 2x + 3y

∴ 

= (2x2 + 3y) + (5x2 + 3x) – (8y2 – 3x2 + 2x + 3y)

= 2x2 + 3y + 5x2 + 3x – 8y2 + 3x2 – 2x – 3y

On combining the fike terms,

= 2x2 + 5x2 + 3x2 + 3y – 3y + 3x – 2x – 8y2

= 10x2 – 8y2 + x

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Chapter 10: Algebraic Expressions - Exercise [Page 322]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 10 Algebraic Expressions
Exercise | Q 72. | Page 322

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