What is expand 6^{1/2}(x^2+1)x^{1/2}-3x^3 ?

The solution to expand 6^{1/2}(x^2+1)x^{1/2}-3x^3 is 6^{1/2}x^{5/2}+6^{1/2}x^{1/2}-3x^3

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expand 6^{1/2}(x^2+1)x^{1/2}-3x^3

expand

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

6^{\frac{1}{2}} x^{\frac{5}{2}} + 6^{\frac{1}{2}} x^{\frac{1}{2}} - 3 x^{3}

Solution steps

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

= 6^{\frac{1}{2}} x^{\frac{1}{2}} (x^{2} + 1) - 3 x^{3}

Expand

6^{\frac{1}{2}} x^{\frac{1}{2}} (x^{2} + 1) : 6^{\frac{1}{2}} x^{\frac{5}{2}} + 6^{\frac{1}{2}} x^{\frac{1}{2}}

= 6^{\frac{1}{2}} x^{\frac{5}{2}} + 6^{\frac{1}{2}} x^{\frac{1}{2}} - 3 x^{3}

2 (x + h)^{2} + 3 (x + h) - 5 (x + h)

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

(3 x^{2} + 1 - 3) (3 x^{2} - 1)

(2 + \frac{2}{x + 1}) (3 - \frac{6}{x + 2})

What is expand 6^{1/2}(x^2+1)x^{1/2}-3x^3 ?
The solution to expand 6^{1/2}(x^2+1)x^{1/2}-3x^3 is 6^{1/2}x^{5/2}+6^{1/2}x^{1/2}-3x^3