Question

e^x/5 - e^-x/5

how do you factor this out? i believe you take out e^-x/5, then...what next

Answer 1

e^-x = 1/e^x

Answer 2

Now take LCM of the denominators and go ahead

Answer 3

oh ok thanks :)

Answer 4

Welcome :)

Answer 5

wait...u take out e^-x?

Answer 6

not e^-x/5?

Answer 7

OK.
\[\large \frac{e^x}{5} - \frac{1}{5e^x}= \frac{1}{5e^x}{(e^{2x} - 1)}\]

Answer 8

srry..it is e^ (x/5) ..forgot my brackets

Answer 9

e^ (x/5) - e (-x/5)

Answer 10

Apply same logic :D

Answer 11

i took out e^(-x/5)

Answer 12

keep typing it wrong..e^ (x/5) - e ^(-x/5)

Answer 13

so i got e^ (-x/5) ( e^-1 - 1) is this right？

Answer 14

Not exactly
\[\large {e^{x/5}} - \frac{1}{e^{x/5}}= \frac{1}{e^{x/5}}{(e^{2x/5} - 1)}\]

Answer 15

oh okok i get it thanks

Answer 16

Welcome :D