State True or False.
$3 a^{2} (2 a^{2} - 3) + 4 a (4 a^{3} + 3) - 12 (a + 1)$ $= 14 a^{4} - 9 a^{2} - 12$

True

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False

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Solution

The correct option is B False
Multiplying term by term then adding/subtracting like terms,
$3 a^{2} (2 a^{2} - 3) + 4 a (4 a^{3} + 3) - 12 (a + 1)$
$= 3 a^{2} (2 a^{2}) - 3 a^{2} (3) + 4 a (4 a^{3}) + 4 a (3) - 12 a - 12$
$= 6 a^{4} - 9 a^{2} + 16 a^{4} + 12 a - 12 a - 12$
$= 22 a^{4} - 9 a^{2} - 12$ , which doesn't match with given solution so, $f a l s e$

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