Rút gọn biểu thức 5x2−10xy2(x−2y)3\frac{{5{x^2} - 10xy}}{{2{{\left( {x - 2y} \right)}^3}}}2(x−2y)35x2−10xy được kết quả bằng
5x2(x−2y)2\frac{{5x}}{{2{{\left( {x - 2y} \right)}^2}}}2(x−2y)25x.
5xy2(x−2y)2\frac{{5xy}}{{2{{\left( {x - 2y} \right)}^2}}}2(x−2y)25xy.
5x(x−2y)2\frac{{5x}}{{{{\left( {x - 2y} \right)}^2}}}(x−2y)25x.
52(x−2y)2\frac{5}{{2{{\left( {x - 2y} \right)}^2}}}2(x−2y)25.
Ta có: 5x2−10xy2(x−2y)3=5x(x−2y)2(x−2y)3=5x2(x−2y)2\frac{{5{x^2} - 10xy}}{{2{{\left( {x - 2y} \right)}^3}}} = \frac{{5x\left( {x - 2y} \right)}}{{2{{\left( {x - 2y} \right)}^3}}} = \frac{{5x}}{{2{{\left( {x - 2y} \right)}^2}}}2(x−2y)35x2−10xy=2(x−2y)35x(x−2y)=2(x−2y)25x
Đáp án A