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Answer 1

Mark it as the brainliest one...

Answer 2

Answer

We have,

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

Note,-3ab and 2ab are like terms

$and \: (2a - 3b)c = 2ac - 3bc \\ therefore....$

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

Hence simplified!!!