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

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Solution

$4 c (- a + b + c) - [3 a (a + b + c) - 2 b (a - b + c)]$
$4 c (- a + b + c) - [3 a^{2} + 3 a b + 3 a c - 2 a b + 2 b^{2} - 2 b c]$
$4 c (- a + b + c) - [3 a^{2} + 2 b^{2} + a b + 3 a c - 2 b c]$
$- 4 a c + 4 b c + 4 c^{2} - 3 a^{2} - 2 b^{2} - a b - 3 a c + 2 b c$
$4 c^{2} - 3 a^{2} - 2 b^{2} - a b + 6 b c - 7 a c$

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Substract: $3 a (a + b + c) - 2 b (a - b + c) f r o m 4 c (- a + b + c) .$

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3 a (a + b + c) - 2 b (a - b + c)

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(a)Add: $p (p - q), q (q - r)$ and $r (r - p)$

(b)Add: $2 x (z - x - y)$ and $2 y (z - y - x)$

(c)Subtract: $3 l (l - 4 m + 5 n)$ from $4 l (10 n - 3 m + 2 l)$

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

3 a (a - b + c), 2 b (a - b + c)

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