What is expand ln(t)(tln(t)-t) ?

The solution to expand ln(t)(tln(t)-t) is tln^2(t)-tln(t)

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expand ln(t)(tln(t)-t)

expand

ln (t) (t ln (t) - t)

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

Solution steps

ln (t) (t ln (t) - t)

Apply the distributive law:

a (b - c) = ab - a c

a = ln (t), b = t ln (t), c = t

= ln (t) t ln (t) - ln (t) t

= t ln (t) ln (t) - t ln (t)

t ln (t) ln (t) = t ln^{2} (t)

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

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

\frac{2 x ^{2} + x + 8}{( 2 x - 1 ) ( x + 3 )}

\frac{( ( x - 4 ) ^{4} )}{4}

(2 + \frac{5}{8} x)^{8}

(\frac{( 8 - b )}{3})^{2}

What is expand ln(t)(tln(t)-t) ?
The solution to expand ln(t)(tln(t)-t) is tln^2(t)-tln(t)