Question

Enter the correct answer in the box.

Answer 1

9514 1404 393

Answer:

  14x³∛x

Step-by-step explanation:

Factor cubes from under the radical and combine like terms.

  $\displaystyle 4\sqrt[3]{x^{10}}+5x^3\sqrt[3]{8x}=4\sqrt[3]{x(x^3)^3}+5x^3\sqrt[3]{x(2^3)}\\\\=4x^3\sqrt[3]{x}+5x^3\cdot2\sqrt[3]{x}=(4+5\cdot2)x^3\sqrt[3]{x}\\\\=\boxed{14x^3\sqrt[3]{x}}$

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Additional comment

When using an equation editor to create your answers, you need to be careful to make the distinction between the multiplication symbol × and the variable x. Note, too, that exponents generally must be written using the superscript form. x10 and x¹⁰ are not the same thing.