Simplify
$(a^{3} - 2 a^{2} + 4 a - 5) - (- a^{3} - 8 a + 2 a^{2} + 5)$

2 a^{3} + 7 a^{2} + 6 a - 10

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2 a^{3} + 7 a^{2} + 12 a - 10

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2 a^{3} - 4 a^{2} + 12 a - 10

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2 a^{3} + 4 a^{2} + 6 a - 10

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Solution

The correct option is B $2 a^{3} - 4 a^{2} + 12 a - 10$
$3^{3} - 2 a^{2} + 4 a - 5$
$(-) - a^{3} + 2 a^{2} - 8 a + 5$
+ - + -
$¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 a^{3} - 4 a^{2} + 12 a - 10 - --------------------- -$

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