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.

Answer 1

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