## Algebra: A Combined Approach (4th Edition)

$(\sqrt[3]{x}+1)(\sqrt[3]{x}-4\sqrt{x}+7)=\sqrt[3]{x^{2}}-4\sqrt[6]{x^{5}}+8\sqrt[3]{x}-4\sqrt{x}+7$
$(\sqrt[3]{x}+1)(\sqrt[3]{x}-4\sqrt{x}+7)$ Evaluate the product: $\sqrt[3]{x^{2}}-4\sqrt[3]{x}\sqrt{x}+7\sqrt[3]{x}+\sqrt[3]{x}-4\sqrt{x}+7=...$ Simplify: $...=\sqrt[3]{x^{2}}-4(x^{1/3})(x^{1/2})+8\sqrt[3]{x}-4\sqrt{x}+7=...$ $...=\sqrt[3]{x^{2}}-4x^{5/6}+8\sqrt[3]{x}-4\sqrt{x}+7=...$ $...=\sqrt[3]{x^{2}}-4\sqrt[6]{x^{5}}+8\sqrt[3]{x}-4\sqrt{x}+7$