Simplify: $(a^{4} - 3 a^{2} + 6 a - 8) - (a^{4} - 10 a + 4 a^{2} + 8)$

- 7 a^{2} - 16 a + 16

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7 a^{2} - 16 a + 16

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- 7 a^{2} + 16 a - 16

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7 a^{2} + 16 a - 16

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Solution

The correct option is A $- 7 a^{2} + 16 a - 16$
$(a^{4} - 3 a^{2} + 6 a - 8) - (a^{4} - 10 a + 4 a^{2} + 8)$

$= a^{4} - 3 a^{2} + 6 a - 8 - a^{4} + 10 a - 4 a^{2} - 8$

$= a^{4} - a^{4} - 3 a^{2} - 4 a^{2} + 6 a + 10 a - 8 - 8$

$= - 7 a^{2} + 16 a - 16$

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