What is expand 2((e^t)/t+(-e^t+1)/(t^2)) ?

The solution to expand 2((e^t)/t+(-e^t+1)/(t^2)) is (2e^t)/t-(2e^t)/(t^2)+2/(t^2)

Popular >

expand 2((e^t)/t+(-e^t+1)/(t^2))

expand

2 (\frac{e ^{t}}{t} + \frac{- e ^{t} + 1}{t ^{2}})

\frac{2 e ^{t}}{t} - \frac{2 e ^{t}}{t ^{2}} + \frac{2}{t ^{2}}

Solution steps

2 (\frac{e ^{t}}{t} + \frac{- e ^{t} + 1}{t ^{2}})

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = \frac{e ^{t}}{t}, c = \frac{- e ^{t} + 1}{t ^{2}}

= 2 \cdot \frac{e ^{t}}{t} + 2 \cdot \frac{- e ^{t} + 1}{t ^{2}}

Simplify

2 \cdot \frac{e ^{t}}{t} + 2 \cdot \frac{- e ^{t} + 1}{t ^{2}} : \frac{2 e ^{t}}{t} - \frac{2 e ^{t}}{t ^{2}} + \frac{2}{t ^{2}}

= \frac{2 e ^{t}}{t} - \frac{2 e ^{t}}{t ^{2}} + \frac{2}{t ^{2}}

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

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

y d z + (2 y - z) d y

\frac{3 n ( 3 n + 1 )}{( 3 n - 1 ) ( 3 n + 2 )}

2 π (x - 100 t)

What is expand 2((e^t)/t+(-e^t+1)/(t^2)) ?
The solution to expand 2((e^t)/t+(-e^t+1)/(t^2)) is (2e^t)/t-(2e^t)/(t^2)+2/(t^2)