What is expand 12(-195/16+49/2 ln(14)) ?

The solution to expand 12(-195/16+49/2 ln(14)) is -585/4+294ln(14)

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expand 12(-195/16+49/2 ln(14))

expand

12 (- \frac{195}{16} + \frac{49}{2} ln (14))

- \frac{585}{4} + 294 ln (14)

Solution steps

12 (- \frac{195}{16} + \frac{49}{2} ln (14))

Apply the distributive law:

a (b + c) = ab + a c

a = 12, b = - \frac{195}{16}, c = \frac{49}{2} ln (14)

= 12 (- \frac{195}{16}) + 12 \cdot \frac{49}{2} ln (14)

Apply minus-plus rules

+ (- a) = - a

= - 12 \cdot \frac{195}{16} + 12 \cdot \frac{49}{2} ln (14)

Simplify

- 12 \cdot \frac{195}{16} + 12 \cdot \frac{49}{2} ln (14) : - \frac{585}{4} + 294 ln (14)

= - \frac{585}{4} + 294 ln (14)

\frac{14 ( e ^{6} - 1 )}{12}

A (B x + Ct + D)^{2}

(x + 5) e^{2 x}

\frac{\frac{d}{d x} ( x ^{3} + 3 )}{( x + 5 ) ^{2}}

- 2 - 4 (- 2 b x + c = - 6 x)

What is expand 12(-195/16+49/2 ln(14)) ?
The solution to expand 12(-195/16+49/2 ln(14)) is -585/4+294ln(14)