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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
$2 x^{2} - 6 x y + 3; - 3 x^{2} - x - 4; 1 + 2 x - 3 x^{2}$

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Solution

$\begin{matrix} H o r i z o n t a l m e t h o d \Rightarrow (2 x^{2} - 6 x y + 3) + (- 3 x^{2} - x - 4) + (1 + 2 x - 3 x^{2}) \Rightarrow 2 x^{2} - 6 x y + 3 - 3 x^{2} - x - 4 + 1 + 2 x - 3 x^{2} \Rightarrow 2 x^{2} - 3 x^{2} - 3 x^{2} - 6 x y + 3 - 4 + 1 + 2 x - x \Rightarrow x^{2} (2 - 3 - 3) - 6 x y + x (2 - 1) \Rightarrow - 4 x^{2} - 6 x y + x V e r t i c a l m e t h o d, 2 x^{2} - 6 x y 3 - 3 x^{2} - 4 - x - 3 x^{2} 1 + 2 x - 4 x^{2} - 6 x y + x \Rightarrow - 4 x^{2} - 6 x y + x y e s, g o t s a m e a n s w e r w i t h b o t h m e t h o d s . \end{matrix}$

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