Subtract $4 x^{3} - 5 x^{2} + 6$ from $3 x^{3} - 7 x^{2} - 5$

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Solution

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

$= 3 x^{3} - 7 x^{2} - 5 - 4 x^{3} + 5 x^{2} - 6$

$= - x^{3} - 2 x^{2} - 11$

$= - (x^{3} + 2 x^{2} + 11)$

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