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

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

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

expand

(x - 3)^{2} x

x^{2} x - 6 x x + 9 x

Solution steps

(x - 3)^{2} x

= x (x - 3)^{2}

Expand

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

= x (x^{2} - 6 x + 9)

Apply the distributive law:

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

x (x^{2} - 6 x + 9) = x x^{2} + x (- 6 x) + x \cdot 9

= x x^{2} + x (- 6 x) + x \cdot 9

Simplify

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

= x^{2} x - 6 x x + 9 x

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

3 (t e^{t}) (4 + t)^{2}

(5 x^{3} (4 e^{\frac{x}{y}} y^{3} - e^{\frac{x}{y}} x y^{2})) \cdot y

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

\frac{0.5 ( 3 s + 1 )}{3 s ^{2} + s + 2 k}

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