What is expand ((ln(50)-5)^2)/8 ?

The solution to expand ((ln(50)-5)^2)/8 is (ln^2(50))/8-(5ln(50))/4+25/8

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expand ((ln(50)-5)^2)/8

expand

\frac{( ln ( 50 ) - 5 ) ^{2}}{8}

\frac{ln ^{2} ( 50 )}{8} - \frac{5 ln ( 50 )}{4} + \frac{25}{8}

Decimal Notation

0.14796 \dots

Solution steps

\frac{( ln ( 50 ) - 5 ) ^{2}}{8}

(ln (50) - 5)^{2} = ln^{2} (50) - 10 ln (50) + 25

= \frac{ln ^{2} ( 50 ) - 10 ln ( 50 ) + 25}{8}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{ln ^{2} ( 50 ) - 10 ln ( 50 ) + 25}{8} = \frac{ln ^{2} ( 50 )}{8} - \frac{10 ln ( 50 )}{8} + \frac{25}{8}

= \frac{ln ^{2} ( 50 )}{8} - \frac{10 ln ( 50 )}{8} + \frac{25}{8}

Cancel

\frac{10 ln ( 50 )}{8} : \frac{5 ln ( 50 )}{4}

= \frac{ln ^{2} ( 50 )}{8} - \frac{5 ln ( 50 )}{4} + \frac{25}{8}

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

2 t^{2} e^{k t} (2 e^{k t} - y)

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

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

What is expand ((ln(50)-5)^2)/8 ?
The solution to expand ((ln(50)-5)^2)/8 is (ln^2(50))/8-(5ln(50))/4+25/8