What is expand (4e^{6t}-e^{8t})6e^{6t} ?

The solution to expand (4e^{6t}-e^{8t})6e^{6t} is 24e^{12t}-6e^{14t}

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expand (4e^{6t}-e^{8t})6e^{6t}

expand

(4 e^{6 t} - e^{8 t}) 6 e^{6 t}

24 e^{12 t} - 6 e^{14 t}

Solution steps

(4 e^{6 t} - e^{8 t}) \cdot 6 e^{6 t}

= 6 e^{6 t} (4 e^{6 t} - e^{8 t})

Apply the distributive law:

a (b - c) = ab - a c

a = 6 e^{6 t}, b = 4 e^{6 t}, c = e^{8 t}

= 6 e^{6 t} \cdot 4 e^{6 t} - 6 e^{6 t} e^{8 t}

= 6 \cdot 4 e^{6 t} e^{6 t} - 6 e^{6 t} e^{8 t}

Simplify

6 \cdot 4 e^{6 t} e^{6 t} - 6 e^{6 t} e^{8 t} : 24 e^{12 t} - 6 e^{14 t}

= 24 e^{12 t} - 6 e^{14 t}

\frac{x - y}{i + y} \cdot t

(x - 3) (sin (π x))

\frac{1}{( 1 - 6 t ) ^{4}}

\frac{d}{d x} ((c) (x - c)^{2})

x^{2} \frac{d}{d x} ((y) (y - x y))

What is expand (4e^{6t}-e^{8t})6e^{6t} ?
The solution to expand (4e^{6t}-e^{8t})6e^{6t} is 24e^{12t}-6e^{14t}