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Addition and Subtraction of Algebraic Expression

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Question

Simplify the polynomial and write it in standard form:
$2 (x^{2} - 3 x - 2) - (- 3 x^{2} + 7 x - 1)$

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Solution

$2 (x^{2} - 3 x - 2) - (- 3 x^{2} + 7 x - 1)$
$= {2 x}^{2} - 6 x - 4 + {3 x}^{2} - 7 x + 1$
$= {2 x}^{2} + {3 x}^{2} - 6 x - 7 x - 4 + 1$
$= {5 x}^{2} - 13 x - 3$
Ans $= {5 x}^{2} - 13 x - 3$

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