What is expand 3/4 (e^{-2t}-e^{-10t}) ?

The solution to expand 3/4 (e^{-2t}-e^{-10t}) is 3/4 e^{-2t}-3/4 e^{-10t}

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expand 3/4 (e^{-2t}-e^{-10t})

expand

\frac{3}{4} (e^{- 2 t} - e^{- 10 t})

\frac{3}{4} e^{- 2 t} - \frac{3}{4} e^{- 10 t}

Solution steps

\frac{3}{4} (e^{- 2 t} - e^{- 10 t})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{3}{4}, b = e^{- 2 t}, c = e^{- 10 t}

= \frac{3}{4} e^{- 2 t} - \frac{3}{4} e^{- 10 t}

(2 + e^{- 2 t})^{2}

(x - x)^{3}

(1 + y e^{x y}) d x + (2 y + x e^{x y}) d y

(4 x^{3} y^{3} - 2 x y) d x + (3 x^{4} y^{2} - x^{2}) d y

10 (lo g_{10} (61) + 12)

What is expand 3/4 (e^{-2t}-e^{-10t}) ?
The solution to expand 3/4 (e^{-2t}-e^{-10t}) is 3/4 e^{-2t}-3/4 e^{-10t}