If $- 7 x^{3} + 2 x^{2} - 9 x^{3} + 6 x^{2} - 7 x + 6 + 3 x - 9$ is simplified, then the expression is

- 16 x^{3} - 8 x^{2} - 4 x - 3

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- 16 x^{3} - 8 x^{2} + 4 x + 3

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- 16 x^{3} + 8 x^{2} - 4 x - 3

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16 x^{3} + 8 x^{2} + 4 x + 3

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Solution

The correct option is C $- 16 x^{3} + 8 x^{2} - 4 x - 3$
$- 7 x^{3} + 2 x^{2} - 9 x^{3} + 6 x^{2} - 7 x + 6 + 3 x - 9$
Writing same degree terms together,
$(- 7 x^{3} - 9 x^{3}) + (2 x^{2} + 6 x^{2}) + (- 7 x + 3 x) + (6 - 9)$
$- 16 x^{3} + 8 x^{2} - 4 x - 3 \Rightarrow (c)$

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