How can I simplify this equation? $x\sqrt[3]{x}+4x^{\frac{4}{3}}-5\sqrt[3]{x^4}$

Question

How can I simplify this equation step-by-step?

$x\sqrt[3]{x}+4x^{\frac{4}{3}}-5\sqrt[3]{x^4}$

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My attempt:

$=x*x^{\frac{1}{3}}+4x^{\frac{4}{3}}-5x^{\frac{4}{3}}$

$=(x*x^{\frac{1}{3}})+(4x^{\frac{4}{3}}-5x^{\frac{4}{3}})$

$=x*x^{\frac{1}{3}}-x^{\frac{4}{3}}$

Answer 1

$X^{\frac{4}{3}} +4X^{\frac{4}{3}}-5X^{\frac{4}{3}} = 0$

Answer 2

Let $x^{1/3}= t$.

The given expresssion simplifies to:

$tx+4t^4-5t^4$ $\implies (t(x-t^3))$ $\implies x^{1/3}.(x-(x^{1/3})^3) = x^{1/3}(x-x) = 0$

Answer 3

We have that $$x\sqrt[3]x+4x^\frac{4}{3}-5\sqrt[3]x^4 = \sqrt[3]x^4+4\sqrt[3]x^4-5\sqrt[3]x^4 = \sqrt[3]x^4(1+4-5) = \sqrt[3]x^4(0) = 0$$