Đáp án:
A = $\frac{15\sqrt{x}-11}{x+2\sqrt{x}-3}$ - $\frac{3\sqrt{x}-2}{\sqrt{x}-1}$ - $\frac{2\sqrt{x}+3}{\sqrt{x}+3}$
a) ĐKXĐ: x $\geq$ 0, x $\neq$ 1
A = $\frac{15\sqrt{x}-11}{(\sqrt{x}-1).(\sqrt{x}+3)}$ - $\frac{(3\sqrt{x}-2).(\sqrt{x}+3)}{(\sqrt{x}-1).(\sqrt{x}+3)}$ - $\frac{(2\sqrt{x}+3).(\sqrt{x}-1)}{(\sqrt{x}-1).(\sqrt{x}+3)}$
A = $\frac{15\sqrt{x}-11-3x-7\sqrt{x}+6-2x-\sqrt{x}+3}{(\sqrt{x}-1).(\sqrt{x}+3)}$
A = $\frac{-5x+7\sqrt{x}-2}{(\sqrt{x}-1).(\sqrt{x}+3)}$
A = $\frac{(5\sqrt{x}-2).(\sqrt{x}-1)}{(\sqrt{x}-1).(\sqrt{x}+3)}$
A = $\frac{5\sqrt{x}-2}{\sqrt{x}+3}$