What is x^{7/2}-8x^3(-3+sqrt(x)) ?

The solution to x^{7/2}-8x^3(-3+sqrt(x)) is 24x^3-7x^{7/2}

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simplify x^{7/2}-8x^3(-3+sqrt(x))

simplify

x^{\frac{7}{2}} - 8 x^{3} (- 3 + x)

24 x^{3} - 7 x^{\frac{7}{2}}

Solution steps

x^{\frac{7}{2}} - 8 x^{3} (- 3 + x)

Expand

- 8 x^{3} (- 3 + x) : 24 x^{3} - 8 x^{\frac{7}{2}}

= x^{\frac{7}{2}} + 24 x^{3} - 8 x^{\frac{7}{2}}

Group like terms

= 24 x^{3} + x^{\frac{7}{2}} - 8 x^{\frac{7}{2}}

Add similar elements:

x^{\frac{7}{2}} - 8 x^{\frac{7}{2}} = - 7 x^{\frac{7}{2}}

= 24 x^{3} - 7 x^{\frac{7}{2}}

(e^{4 x} - 2 e^{x})^{2}

\frac{1}{( 2 - 3 x ) ^{2}}

\frac{11 s ^{2} + 172 s + 700}{( s + 2 ) ( s ^{2} + 12 s + 100 )}

(3 x^{2} + 18 x + 27) (x + 3)^{\frac{1}{5}}

\frac{2}{s ( s + 1 ) ( s + 4 )}

What is x^{7/2}-8x^3(-3+sqrt(x)) ?
The solution to x^{7/2}-8x^3(-3+sqrt(x)) is 24x^3-7x^{7/2}