Subtract: $3 a (1 - 4 m + 5 n)$ from $4 a (10 n - 3 m + 2 a)$

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Solution

$[4 a (10 n - 3 m + 2 a)] - [3 a (1 - 4 m + 5 n)]$

$= (40 a n - 12 a m + 8 a^{2}) - (3 a - 12 a m + 15 a n)$

$= 40 a n - 12 a m + 8 a^{2} - 3 a + 12 a m - 15 a n$

$= 25 a n + 8 a^{2} - 3 a$

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