What is x^{3/2}-4x(sqrt(x)+4) ?

The solution to x^{3/2}-4x(sqrt(x)+4) is -3x^{3/2}-16x

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simplify x^{3/2}-4x(sqrt(x)+4)

simplify

x^{\frac{3}{2}} - 4 x (x + 4)

- 3 x^{\frac{3}{2}} - 16 x

Solution steps

x^{\frac{3}{2}} - 4 x (x + 4)

Expand

- 4 x (x + 4) : - 4 x^{\frac{3}{2}} - 16 x

= x^{\frac{3}{2}} - 4 x^{\frac{3}{2}} - 16 x

Add similar elements:

x^{\frac{3}{2}} - 4 x^{\frac{3}{2}} = - 3 x^{\frac{3}{2}}

= - 3 x^{\frac{3}{2}} - 16 x

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What is x^{3/2}-4x(sqrt(x)+4) ?
The solution to x^{3/2}-4x(sqrt(x)+4) is -3x^{3/2}-16x