ĐKXĐ: \(x\ne1\)
\(A=\dfrac{x\sqrt{x}+1}{x-1}-\dfrac{x-1}{\sqrt{x}-1}\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{x-1}-\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}{\sqrt{x}-1}\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{x-1}-\sqrt{x}+1\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{x-1}-\dfrac{\left(\sqrt{x}+1\right)\left(x-1\right)}{x-1}\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1-x+1\right)}{x-1}\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(2-\sqrt{x}\right)}{x-1}\)
\(=\dfrac{\left(\sqrt{x}+1\right)\left(2-\sqrt{x}\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{2-\sqrt{x}}{\sqrt{x}-1}\)
rút gọn biểu thức, giúp e với ạ :<
giúp mik với ạ chỉ cần rút gọn 6 cái biểu thức thui ạ .mong mn giúp đỡ.
