What is expand (u^{3/2}+3u)^2 ?

The solution to expand (u^{3/2}+3u)^2 is u^3+6u^{5/2}+9u^2

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expand (u^{3/2}+3u)^2

expand

(u^{\frac{3}{2}} + 3 u)^{2}

u^{3} + 6 u^{\frac{5}{2}} + 9 u^{2}

Solution steps

(u^{\frac{3}{2}} + 3 u)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(u^{\frac{3}{2}} + 3 u)^{2} = (u^{\frac{3}{2}})^{2} + 2 u^{\frac{3}{2}} \cdot 3 u + (3 u)^{2}

= (u^{\frac{3}{2}})^{2} + 2 u^{\frac{3}{2}} \cdot 3 u + (3 u)^{2}

(u^{\frac{3}{2}})^{2} = u^{3}

2 u^{\frac{3}{2}} \cdot 3 u = 6 u^{\frac{5}{2}}

(3 u)^{2} = 9 u^{2}

= u^{3} + 6 u^{\frac{5}{2}} + 9 u^{2}

2 (2 + 22 + 6)

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x (\frac{384}{x - 12} + 8)

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

\frac{sinh ( x ) ( x + 1 ) - cosh ( x )}{( x + 1 ) ^{2}}

What is expand (u^{3/2}+3u)^2 ?
The solution to expand (u^{3/2}+3u)^2 is u^3+6u^{5/2}+9u^2