Rút gọn biểu thức ( on thi vao lop 10 )

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nhahangtuan

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baochauhn1999

$A=\frac{15\sqrt{x}-11}{x+2\sqrt{x}-3}-\frac{3\sqrt{x}-2}{1-\sqrt{x}}-\frac{2\sqrt{x}+3}{\sqrt{x}+3}$
ĐKXĐ: $x\ne 1;x$\geq$0$
$<=>A=\frac{15\sqrt{x}-11}{(\sqrt{x}-1)(\sqrt{x}+3)}+\frac{(3\sqrt{x}-2)(\sqrt{x}+3)}{(\sqrt{x}-1)(\sqrt{x}+3)}-\frac{(2\sqrt{x}+3)(\sqrt{x}-1)}{(\sqrt{x}+3)(\sqrt{x}-1)}$

$<=>A=\frac{15\sqrt{x}-11+3x+7\sqrt{x}-6-2x-\sqrt{x}+3}{(\sqrt{x}+3)(\sqrt{x}-1)}$

$<=>A=\frac{x+21\sqrt{x}-14}{(\sqrt{x}+3)(\sqrt{x}-1)}$
 
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