(a + b) (2a – 3b + c) – (2a – 3b) c = $2 a^{2}$ – $2 b^{2}$ – ab + 4bc – 2ac.

True

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False

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Solution

The correct option is B
False

(a + b) (2a – 3b + c) – (2a – 3b) c

( $2 a^{2}$ - 3ab + ac + 2ab - $3 b^{2}$ + bc) - (2ac - 3bc)

$\Rightarrow$ $2 a^{2}$ - 3ab + ac + 2ab - $3 b^{2}$ + bc - 2ac + 3bc.

$\Rightarrow$ $2 a^{2}$ - ab - ac - $3 b^{2}$ + 4bc.

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