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

- 2 a^{2} - 2 b^{2} + 3 c^{2} - 5 a c + 11 b c

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- 2 a^{2} - 2 b^{2} + 3 c^{2} - 5 a c - 11 b c

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- 2 a^{2} + 2 b^{2} + 3 c^{2} - 5 a c + 11 b c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2 a^{2} - 2 b^{2} + 23 c^{2} - 5 a c + 11 b c

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Solution

The correct option is A $- 2 a^{2} - 2 b^{2} + 3 c^{2} - 5 a c + 11 b c$
$3 c (- 2 a + 3 b + c) - [a (2 a + b - c) - b (a - 2 b + 2 c)] = - 6 c a + 9 b c + 3 c^{2} - [2 a^{2} + a b - c a - b a + 2 b^{2} - 2 b c] = - 2 a^{2} - 2 b^{2} + 3 c^{2} - 5 a c + 11 b c$

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