What is expand (u-1)^2sqrt(u) ?

The solution to expand (u-1)^2sqrt(u) is u^2sqrt(u)-2usqrt(u)+sqrt(u)

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expand (u-1)^2sqrt(u)

expand

(u - 1)^{2} u

u^{2} u - 2 u u + u

Solution steps

(u - 1)^{2} u

= u (u - 1)^{2}

Expand

(u - 1)^{2} : u^{2} - 2 u + 1

= u (u^{2} - 2 u + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

u (u^{2} - 2 u + 1) = u u^{2} + u (- 2 u) + u \cdot 1

= u u^{2} + u (- 2 u) + u \cdot 1

Simplify

u u^{2} + u (- 2 u) + u \cdot 1 : u^{2} u - 2 u u + u

= u^{2} u - 2 u u + u

\frac{5 ( x + 3 )}{3 x}

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

(x + 2) (x - 3) (x + \frac{1}{5})

(x + y - x - y)^{2}

\frac{2 x ^{2} - 13 x + 22}{( x - 2 ) ^{2}}

What is expand (u-1)^2sqrt(u) ?
The solution to expand (u-1)^2sqrt(u) is u^2sqrt(u)-2usqrt(u)+sqrt(u)