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Writing Patterns in Geometry

Each symbol g...

Question

Question 72

Each symbol given below represents an algebraic expression.

The symbols are then represented in the expression

Find the expression which is represented by the above symbols.

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Solution

Given,

and

$∴$

$= (2 x^{2} + 3 y) + (5 x^{2} + 3 x) - (8 y^{2} - 3 x^{2} + 2 x + 3 y) = 2 x^{2} + 3 y + 5 x^{2} + 3 x - 8 y^{2} + 3 x^{2} - 2 x - 3 y$

On combining the like terms,

$= 2 x^{2} + 5 x^{2} + 3 x^{2} + 3 y - 3 y + 3 x - 2 x - 8 y^{2} = 10 x^{2} - 8 y^{2} + x$

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