Question

(a+b) (2a-3b+c)- (2a-3b)-c simplyfy​

Answer 1

Step-by-step explanation:

$<big><u><font color=#fff678>Answer</u></big>$

Answer:

$\begin{gathered}Simplification\: of\: \: (a+b)(2a-3b+c)-(2a-3b)c\\=2a^{2}-3b^{2}-ab+4bc-ac\end{gathered} </p><p>Simplificationof(a+b)(2a−3b+c)−(2a−3b)c</p><p>=2a </p><p>2</p><p> −3b </p><p>2</p><p> −ab+4bc−ac \\</p><p> </p><p> </p><p></p><p>Step-by-step explanation:</p><p></p><p>\begin{gathered}Given \: (a+b)(2a-3b+c)-(2a-3b)c \\ =a(2a-3b+c)+b(2a-3b+c)-(2a-3b)c\\=2a^{2}-3ab+ac+2ab-3b^{2}+bc-2ac+3bc\\=2a^{2}-3b^{2}+(-3+2)ab+(1+3)bc+(1-2)ac\\=2a^{2}-3b^{2}-ab+4bc-ac\end{gathered} \\</p><p>Given(a+b)(2a−3b+c)−(2a−3b)c</p><p>=a(2a−3b+c)+b(2a−3b+c)−(2a−3b)c</p><p>=2a </p><p>2</p><p> −3ab+ac+2ab−3b </p><p>2</p><p> +bc−2ac+3bc</p><p>=2a </p><p>2</p><p> −3b </p><p>2</p><p> +(−3+2)ab+(1+3)bc+(1−2)ac</p><p>=2a </p><p>2</p><p> −3b </p><p>2</p><p> −ab+4bc−ac</p><p> </p><p> </p><p></p><p>Therefore,</p><p></p><p>\begin{gathered}Simplification\: of\: \: (a+b)(2a-3b+c)-(2a-3b)c\\=2a^{2}-3b^{2}-ab+4bc-ac\end{gathered} </p><p>Simplificationof(a+b)(2a−3b+c)−(2a−3b)c</p><p>=2a </p><p>2</p><p> −3b </p><p>2</p><p> −ab+4bc−ac$

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