What is expand-3/16 (-19/4+(-3/4 ln(9/(57-64x)))) ?

The solution to expand-3/16 (-19/4+(-3/4 ln(9/(57-64x)))) is 57/64+9/64 ln(9/(57-64x))

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expand-3/16 (-19/4+(-3/4 ln(9/(57-64x))))

expand

- \frac{3}{16} (- \frac{19}{4} + (- \frac{3}{4} ln (\frac{9}{57 - 64 x})))

\frac{57}{64} + \frac{9}{64} ln (\frac{9}{57 - 64 x})

Solution steps

- \frac{3}{16} (- \frac{19}{4} + (- \frac{3}{4} ln (\frac{9}{57 - 64 x})))

Apply the distributive law:

a (b + c) = ab + a c

a = - \frac{3}{16}, b = - \frac{19}{4}, c = (- \frac{3}{4} ln (\frac{9}{57 - 64 x}))

= - \frac{3}{16} (- \frac{19}{4}) + (- \frac{3}{16}) (- \frac{3}{4} ln (\frac{9}{57 - 64 x}))

Apply minus-plus rules

- (- a) = a, + (- a) = - a

= \frac{3}{16} \cdot \frac{19}{4} - \frac{3}{16} (- \frac{3}{4} ln (\frac{9}{57 - 64 x}))

Simplify

\frac{3}{16} \cdot \frac{19}{4} - \frac{3}{16} (- \frac{3}{4} ln (\frac{9}{57 - 64 x})) : \frac{57}{64} + \frac{9}{64} ln (\frac{9}{57 - 64 x})

= \frac{57}{64} + \frac{9}{64} ln (\frac{9}{57 - 64 x})

(2 sin (2 t)) (1 + 2 sin^{2} (t))

\frac{1}{s ^{2} ( s - 9 )}

\frac{( 5 x - 1 ) ( x + 1 )}{( 3 x - 1 ) ( x + 2 )}

x (x + 3) (x - 2) (x + 2)

7.03 \times 10 - 4

What is expand-3/16 (-19/4+(-3/4 ln(9/(57-64x)))) ?
The solution to expand-3/16 (-19/4+(-3/4 ln(9/(57-64x)))) is 57/64+9/64 ln(9/(57-64x))