Subtract $3 a (a - 2 b + 3 c)$ from $4 a (5 a + 2 b - 3 c)$

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Solution

Subtraction of $3 a (a - 2 b + 3 c)$ from $4 a (5 a + 2 b - 3 c)$
$\Rightarrow 4 a (5 a + 2 b - 3 c) = 20 a^{2} + 8 a b - 12 a c$
$\Rightarrow 3 a (a - 2 b + 3 c) = 3 a^{2} - 6 a b + 9 a c$
Subtract, $20 a^{2} + 8 a b - 12 a c - (3 a^{2} + 9 a c + 6 a b)$
$= 20 a^{2} + 8 a b - 12 a c - 3 a^{2} - 9 a c + 6 a b$
$= 17 a^{2} + 14 a b - 21 a c$
Hence, the answer is $17 a^{2} + 14 a b - 21 a c .$

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