What is expand (xln(x)-x)*x^2 ?

The solution to expand (xln(x)-x)*x^2 is x^3ln(x)-x^3

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expand (xln(x)-x)*x^2

expand

(x ln (x) - x) \cdot x^{2}

x^{3} ln (x) - x^{3}

Solution steps

(x ln (x) - x) x^{2}

= x^{2} (x ln (x) - x)

Apply the distributive law:

a (b - c) = ab - a c

a = x^{2}, b = x ln (x), c = x

= x^{2} x ln (x) - x^{2} x

Simplify

x^{2} x ln (x) - x^{2} x : x^{3} ln (x) - x^{3}

= x^{3} ln (x) - x^{3}

- \frac{d}{d s} ((s^{2} + 2 s + 2) (s + 2))

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

(sin (θ) - 1) \cdot (3 sin (θ))

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

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

What is expand (xln(x)-x)*x^2 ?
The solution to expand (xln(x)-x)*x^2 is x^3ln(x)-x^3