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

Answer» ER:

\begin{gathered} Simplification\: of\: \: (a+b)(2a-3b+c)-(2a-3b)c\\=2a^{2}-3b^{2}-ab+4bc-ac \end{gathered}

Step-by-step EXPLANATION:

\begin{gathered}Given \: (a+b)(2a-3b+c)-(2a-3b)c\\=a(2a-3b+c)+b(2a-3b+c)-(2a-3b)c\\=2a^{2}-3ab+ac+2ab-3b^{2}+bc-2ac+3bc\\=2a^{2}-3b^{2}+(-3+2)ab+(1+3)bc+(1-2)ac\\=2a^{2}-3b^{2}-ab+4bc-ac \end{gathered}

THEREFORE,

\begin{gathered} Simplification\: of\: \: (a+b)(2a-3b+c)-(2a-3b)c\\=2a^{2}-3b^{2}-ab+4bc-ac \end{gathered}

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