Question

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

Answer 1

Answer:

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

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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Answer 2

Answer:

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

2a²+3ab-ac+2ab+3b²-bc-2a-3b

2a²+5ab-ac+3b²-bc-2a-3b