Giải thích các bước giải:
Câu 1:
2.Ta có :
$M=\dfrac{x-\sqrt[3]{x}}{x-1}+\dfrac{1}{\sqrt[3]{x}-1}+\dfrac{1}{\sqrt[3]{x^2}+\sqrt[3]{x}+1}$
$M=\dfrac{x-\sqrt[3]{x}}{x-1}+\dfrac{\sqrt[3]{x^2}+\sqrt[3]{x}+1+\sqrt[3]{x}-1}{(\sqrt[3]{x}-1)(\sqrt[3]{x^2}+\sqrt[3]{x}+1)}$
$M=\dfrac{x-\sqrt[3]{x}}{x-1}+\dfrac{\sqrt[3]{x^2}+2\sqrt[3]{x}}{x-1}$
$M=\dfrac{x-\sqrt[3]{x}+\sqrt[3]{x^2}+2\sqrt[3]{x}}{x-1}$
$M=\dfrac{x+\sqrt[3]{x^2}+\sqrt[3]{x}}{x-1}$
$M=\dfrac{\sqrt[3]{x}(\sqrt[3]{x^2}+\sqrt[3]{x}+1)}{(\sqrt[3]{x}-1)(\sqrt[3]{x^2}+\sqrt[3]{x}+1)}$
$M=\dfrac{\sqrt[3]{x}}{\sqrt[3]{x}-1}$
