Biết x  +  3/x^2 - 4.8 - 12x  +  6/x^2 - x^3/9x  +  27 = - A/B. Tìm A, B. A. A  =  ( x - 2)^2; B = 9( x  +  2) B. A  =  9( x  +  2); B = ( x - 2)^2 C. A  =  9( x - 2); B  =  ( x  +  2)^2 D

Biết \[\frac{{{\rm{x + 3}}}}{{{{\rm{x}}^{\rm{2}}} - {\rm{4}}}}{\rm{.}}\frac{{{\rm{8}} - {\rm{12x + 6}}{{\rm{x}}^{\rm{2}}} - {{\rm{x}}^{\rm{3}}}}}{{{\rm{9x + 27}}}}{\rm{ = }} - \frac{{\rm{A}}}{{\rm{B}}}\]. Tìm A, B.
A. \[{\rm{A = }}{\left( {{\rm{x}} - {\rm{2}}} \right)^{\rm{2}}}{\rm{;}}\,\,{\rm{B = 9}}\left( {{\rm{x + 2}}} \right)\]
B. \[{\rm{A = 9}}\left( {{\rm{x + 2}}} \right){\rm{;}}\,\,{\rm{B = }}{\left( {{\rm{x}} - {\rm{2}}} \right)^{\rm{2}}}\]
C. \[{\rm{A = 9}}\left( {{\rm{x}} - {\rm{2}}} \right){\rm{;}}\,\,{\rm{B = }}{\left( {{\rm{x + 2}}} \right)^{\rm{2}}}\]
D. \[{\rm{A = }}{\left( {{\rm{x + 2}}} \right)^{\rm{2}}}{\rm{;}}\,\,{\rm{B = 9}}\left( {{\rm{x}} - {\rm{2}}} \right)\]

Trả lời

Lời giải

Đáp án đúng là: A

\[\frac{{{\rm{x + 3}}}}{{{{\rm{x}}^{\rm{2}}} - {\rm{4}}}}{\rm{.}}\frac{{{\rm{8}} - {\rm{12x + 6}}{{\rm{x}}^{\rm{2}}} - {{\rm{x}}^{\rm{3}}}}}{{{\rm{9x + 27}}}}\]

\[{\rm{ = }}\frac{{{\rm{x + 3}}}}{{\left( {{\rm{x}} - {\rm{2}}} \right)\left( {{\rm{x + 2}}} \right)}}{\rm{.}}\frac{{{{\left( {{\rm{2}} - {\rm{x}}} \right)}^{\rm{3}}}}}{{{\rm{9}}\left( {{\rm{x + 3}}} \right)}}\]

\[{\rm{ = }} - \frac{{{{\left( {{\rm{x}} - {\rm{2}}} \right)}^{\rm{2}}}}}{{{\rm{9}}\left( {{\rm{x + 2}}} \right)}}\].

Vậy\[{\rm{A = }}{\left( {{\rm{x}} - {\rm{2}}} \right)^{\rm{2}}}{\rm{;}}\,\,{\rm{B = 9}}\left( {{\rm{x + 2}}} \right)\].

Câu hỏi cùng chủ đề

Xem tất cả