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

פתרון

expand

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

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

צעדי פתרון

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

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

a (b - c) = ab - a c

: פתח סוגריים בעזרת

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}

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

פשט את:

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

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

e x p an d \frac{x - y}{i + y} \cdot t

e x p an d (x - 3) (sin (π x))

e x p an d \frac{1}{( 1 - 6 t ) ^{4}}

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

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