Simplify $(a + b) (2 a - 3 b + c) - (2 a - 3 b) c$ . [3 MARKS]

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Solution

Steps : 2 Marks
Result : 1 Mark

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

$[(a + b) (2 a - 3 b + c)] - [(2 a - 3 b) c]$

$[2 a^{2} - 3 b a + a c + 2 a b - 3 b^{2} + b c] - [2 a c - 3 b c]$

$2 a^{2} - 3 b a + a c + 2 a b - 3 b^{2} + b c - 2 a c + 3 b c$

$2 a^{2} - 3 b^{2} - a b - a c + 4 b c$

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