What is expand (0.5+sqrt(u))^3 ?

The solution to expand (0.5+sqrt(u))^3 is 0.125+0.75sqrt(u)+1.5u+usqrt(u)

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expand (0.5+sqrt(u))^3

expand

(0.5 + u)^{3}

0.125 + 0.75 u + 1.5 u + u u

Solution steps

(0.5 + u)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(0.5 + u)^{3} = 0. 5^{3} + 3 \cdot 0. 5^{2} u + 3 \cdot 0.5 (u)^{2} + (u)^{3}

= 0. 5^{3} + 3 \cdot 0. 5^{2} u + 3 \cdot 0.5 (u)^{2} + (u)^{3}

Simplify

0. 5^{3} + 3 \cdot 0. 5^{2} u + 3 \cdot 0.5 (u)^{2} + (u)^{3} : 0.125 + 0.75 u + 1.5 u + u u

= 0.125 + 0.75 u + 1.5 u + u u

(L + R) (B + \frac{L R}{L + R})

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

\frac{x}{( x + 3 ) ^{3}}

(cos (x)) (sin (x) + 1)

\frac{1}{( s - 1 ) ^{2} ( s - 10 ) ( s + 2 )}

What is expand (0.5+sqrt(u))^3 ?
The solution to expand (0.5+sqrt(u))^3 is 0.125+0.75sqrt(u)+1.5u+usqrt(u)