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Addition and Subtraction of Algebraic Expression

Subtract the ...

Question

Subtract the following:
$p (y) = 3 y^{7} - 2 y^{2} + 3$ and $q (y) = y^{7} + y^{2} + y$

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Solution

$p (y) = 3 y^{7} - 2 y^{2} + 3$
$q (y) = y^{7} + y^{2} + y$
$p (y) - q (y) = 3 y^{7} - 2 y^{2} + 3 - (y^{7} + y^{2} + y)$
$\Rightarrow p (y) - q (y) = 3 y^{7} - 2 y^{2} + 3 - y^{7} - y^{2} - y = 3 y^{7} - y^{7} - 2 y^{2} - y^{2} + 3 - y = 2 y^{7} - 3 y^{2} - y + 3$

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