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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.
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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 like terms,
= 2x2 + 5x2 + 3x2 + 3y – 3y + 3x – 2x – 8y2
= 10x2 – 8y2 + x
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