What is expand e^{64+48k}*(48-24k) ?

The solution to expand e^{64+48k}*(48-24k) is 48e^{64+48k}-24ke^{64+48k}

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expand e^{64+48k}*(48-24k)

expand

e^{64 + 48 k} \cdot (48 - 24 k)

48 e^{64 + 48 k} - 24 k e^{64 + 48 k}

Solution steps

e^{64 + 48 k} (48 - 24 k)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{64 + 48 k}, b = 48, c = 24 k

= e^{64 + 48 k} \cdot 48 - e^{64 + 48 k} \cdot 24 k

= 48 e^{64 + 48 k} - 24 k e^{64 + 48 k}

e^{\frac{t}{2} + c} ((- \frac{2}{3} e^{c} (e^{- \frac{3 t}{2}} - 1)) + c)

\frac{( x + 2 ) ^{2} \cdot ( x - 1 ) ( x + 1 )}{2 x ^{2} - 7 x - 4}

(1 - e^{t} + 3 e^{- 4 t}) \cdot cos (3 t)

\frac{500 0 _{0}}{( 1 + 5 ) ^{0}}

3 x (2 x + 2)

What is expand e^{64+48k}*(48-24k) ?
The solution to expand e^{64+48k}*(48-24k) is 48e^{64+48k}-24ke^{64+48k}