(a căn a+b căn b chia căn a + căn b) nhân (căn a + căn b chia a-b) mũ 2

1 câu trả lời

\[\begin{array}{l} \frac{{a\sqrt a + b\sqrt b }}{{\sqrt a + \sqrt b }}.{\left( {\frac{{\sqrt a + \sqrt b }}{{a - b}}} \right)^2}\\ = \frac{{\left( {\sqrt a + \sqrt b } \right)\left( {a - \sqrt {ab} + b} \right)}}{{\sqrt a + \sqrt b }}.\frac{{{{\left( {\sqrt a + \sqrt b } \right)}^2}}}{{{{\left( {\sqrt a - \sqrt b } \right)}^2}{{\left( {\sqrt a + \sqrt b } \right)}^2}}}\\ = \frac{{a - \sqrt {ab} + b}}{{{{\left( {\sqrt a - \sqrt b } \right)}^2}}}. \end{array}\]