Add
$8 x^{2} + 5 x y - 3 y^{2}, - 5 x^{2} + 3 x y + 5 x y a n d - 3 x^{2} + 2 x y + 4 y^{2}$

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Solution

To add two or more algebraic expressions, group the like terms of the expressions and add each group of like terms separately.
$+$ $8 x^{2} + 5 x y - 3 y^{2} - 5 x^{2} + 3 x y + 5 y^{2} - 3 x^{2} + 2 x y + 4 y^{2}_0 x^{2} + 10 x y + 6 y^{2}__$ (adding terms separately)
Hence, on adding the given expressions, the vale is $0 x^{2} + 10 x y + 6 y^{2}$ .

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