What is expand 1/3 (xln(x)-x) ?

The solution to expand 1/3 (xln(x)-x) is (xln(x))/3-x/3

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expand 1/3 (xln(x)-x)

expand

\frac{1}{3} (x ln (x) - x)

\frac{x ln ( x )}{3} - \frac{x}{3}

Solution steps

\frac{1}{3} (x ln (x) - x)

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{1}{3}, b = x ln (x), c = x

= \frac{1}{3} x ln (x) - \frac{1}{3} x

Simplify

\frac{1}{3} x ln (x) - \frac{1}{3} x : \frac{x ln ( x )}{3} - \frac{x}{3}

= \frac{x ln ( x )}{3} - \frac{x}{3}

\frac{( ( z - 1 ) \cdot ( z - 0.586 ) )}{z ^{2}}

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

1 - (2 x + 1) e^{- 2 x}

2 (\frac{π}{6} - \frac{3}{4})

d x ((x - sin (x)) (x + cos (x)))

What is expand 1/3 (xln(x)-x) ?
The solution to expand 1/3 (xln(x)-x) is (xln(x))/3-x/3