State True or False:
Addition of $a^{6} - 4 a^{4} + 6 a, 5 a^{6} + 5 a^{4} + 6 a, 12 a^{6} - 10 a$ is $18 a^{6} + a^{4} + 2 a$ .

True

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False

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Solution

The correct option is A True
$W e c a n a d d t h e c o e f f i c i e n t o f l i k e p o w e r s d i r e c t l y, a^{6} - {4 a}^{4} + 6 a + {5 a}^{6} + {5 a}^{4} + 6 a + {12 a}^{6} - 10 a = (1 + 5 + 12) a^{6} + (- 4 + 5) a^{4} + (6 + 6 - 10) a = 18 a^{6} + a^{4} + 2 a$

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