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Addition and Subtraction of Algebraic Expression

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Question

Add the following algebraic expression using both horizontal and vertical methods. Did you get the same answer with both methods
$x^{2} - 2 x y + 3 y^{2}; 5 y^{2} + 3 x y - 6 x^{2}$

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Solution

$\begin{matrix} V e r t i c a l m e t h o d x^{2} - 2 x y + 3 y^{2} + - 6 x^{2} + 3 x y + 5 y^{2} - ---------------- - - 5 x^{2} + x y + 8 y^{2} H o r i z o n t a l m e t h o d x^{2} - 2 x y + 3 y^{2} + 5 y^{2} + 3 x y - 6 x^{2} = - 5 x^{2} + x y + 8 y^{2} 1 = 2 B o t h a n s a r e s a m e \end{matrix}$

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