What is expand (sqrt(14)(e^6-1))/(12) ?

The solution to expand (sqrt(14)(e^6-1))/(12) is (sqrt(7)e^6)/(6sqrt(2))-(sqrt(7))/(6sqrt(2))

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expand (sqrt(14)(e^6-1))/(12)

expand

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

\frac{7 e ^{6}}{6 2} - \frac{7}{6 2}

Decimal Notation

125.47922 \dots

Solution steps

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

Expand

14 (e^{6} - 1) : 14 e^{6} - 14

= \frac{14 e ^{6} - 14}{12}

Apply the fraction rule:

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

\frac{14 e ^{6} - 14}{12} = \frac{14 e ^{6}}{12} - \frac{14}{12}

= \frac{14 e ^{6}}{12} - \frac{14}{12}

\frac{14 e ^{6}}{12} = \frac{7 e ^{6}}{6 2}

\frac{14}{12} = \frac{7}{6 2}

= \frac{7 e ^{6}}{6 2} - \frac{7}{6 2}

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

e^{7 x} (7 - 9 e^{3 x})

What is expand (sqrt(14)(e^6-1))/(12) ?
The solution to expand (sqrt(14)(e^6-1))/(12) is (sqrt(7)e^6)/(6sqrt(2))-(sqrt(7))/(6sqrt(2))