What is sqrt(x)(sqrt(x)-3)^2 ?

The solution to sqrt(x)(sqrt(x)-3)^2 is xsqrt(x)-6x+9sqrt(x)

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simplify sqrt(x)(sqrt(x)-3)^2

simplify

x (x - 3)^{2}

x x - 6 x + 9 x

Solution steps

x (x - 3)^{2}

Expand

(x - 3)^{2} : x - 6 x + 9

= x (x - 6 x + 9)

Apply the distributive law:

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

x (x - 6 x + 9) = x x + x (- 6 x) + x \cdot 9

= x x + x (- 6 x) + x \cdot 9

x x = x x

x (- 6 x) = - 6 x

x \cdot 9 = 9 x

= x x - 6 x + 9 x

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

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

(4 x + \frac{1}{k x})^{7}

\frac{5}{2} (ln (5) - 1)

What is sqrt(x)(sqrt(x)-3)^2 ?
The solution to sqrt(x)(sqrt(x)-3)^2 is xsqrt(x)-6x+9sqrt(x)