Add $(3 + 2 y - 5 y^{2} + 6 y^{3}), (- 8 + 3 y + 7 y^{3})$ and $(5 - 6 y - 8 y^{3} + y^{2})$ .

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Solution

Adding the given expressions:

$3 + 2 y - 5 y^{2} + 6 y^{3}$
$- 8 + 3 y + 0 y^{2} + 7 y^{3}$
$5 - 6 y + y^{2} - 8 y^{3} - -------------------- -$
$- 1 y - 4 y^{2} + 5 y^{3}$

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Adding $3 + 2 y - 5 y^{2} + 6 y^{3}, - 8 + 3 y + 7 y^{3}$ and $5 - 6 y - 8 y^{3} + y^{2}$ , we get

4 + 2 y - 3 y^{3}, - 8 + 4 y + 7 y^{3}

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[4 y^{3} + 5 y^{2} + 6 y] \div 2 y

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