The quotient of (27y9−36y8+18y7)÷(−9y6) is

=27y9−36y8+18y7−9y6 =−9y6(3y3−4y2+2y)9y6 =−(3y3−4y2+2y) =−3y3+4y2−2y

The quotient of (27y9−36y8+18y7)÷(−9y6) is

=27y9−36y8+18y7−9y6 =−9y6(3y3−4y2+2y)9y6 =−(3y3−4y2+2y) =−3y3+4y2−2y

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The quotient of $(27 y^{9} - 36 y^{8} + 18 y^{7}) \div (- 9 y^{6})$ is

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- 3 y^{3} + 8 y^{2} + 3 y

- 3 y^{3} + 4 y^{2} + 2 y

3 y^{3} + 4 y^{2} - 2 y

- 3 y^{3} + 4 y^{2} - 2 y

answer is C.

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Detailed Solution

= \frac{27 y^{9} - 36 y^{8} + 18 y^{7}}{- 9 y^{6}}

$= - \frac{9 y^{6} (3 y^{3} - 4 y^{2} + 2 y)}{9 y^{6}}$

$= - (3 y^{3} - 4 y^{2} + 2 y)$

$= - 3 y^{3} + 4 y^{2} - 2 y$

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The quotient of (27y9−36y8+18y7)÷(−9y6) is

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The quotient of $(27 y^{9} - 36 y^{8} + 18 y^{7}) \div (- 9 y^{6})$ is