Each symbol is given below represents an algebraic expression written in it:

Find the value of the following.

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Solution

The correct option is A
The required expression is $(6 x^{2} + 3 y) + (5 x^{2} + 2 x) - (8 y^{2} + 3 x^{2} + 2 x + 3 y)$
Addition and subtraction can be done on like terms.
Therefore, $(6 x^{2} + 3 y) + (5 x^{2} + 2 x) - (8 y^{2} + 3 x^{2} + 2 x + 3 y)$
$(6 x^{2} + 5 x^{2} - 3 x^{2}) + (3 y - 3 y) + (2 x - 2 x) - 8 y^{2} = 8 x^{2} - 8 y^{2}$

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