What is expand (18e^{3t}t+12e^{3t})*(2e^{3t}+3e^{3t}t) ?

The solution to expand (18e^{3t}t+12e^{3t})*(2e^{3t}+3e^{3t}t) is 54e^{6t}t^2+72e^{6t}t+24e^{6t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (18e^{3t}t+12e^{3t})*(2e^{3t}+3e^{3t}t)

expand

(18 e^{3 t} t + 12 e^{3 t}) \cdot (2 e^{3 t} + 3 e^{3 t} t)

54 e^{6 t} t^{2} + 72 e^{6 t} t + 24 e^{6 t}

Solution steps

(18 e^{3 t} t + 12 e^{3 t}) (2 e^{3 t} + 3 e^{3 t} t)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 18 e^{3 t} t, b = 12 e^{3 t}, c = 2 e^{3 t}, d = 3 e^{3 t} t

= 18 e^{3 t} t \cdot 2 e^{3 t} + 18 e^{3 t} t \cdot 3 e^{3 t} t + 12 e^{3 t} \cdot 2 e^{3 t} + 12 e^{3 t} \cdot 3 e^{3 t} t

= 18 \cdot 2 e^{3 t} e^{3 t} t + 18 \cdot 3 e^{3 t} e^{3 t} tt + 12 \cdot 2 e^{3 t} e^{3 t} + 12 \cdot 3 e^{3 t} e^{3 t} t

Simplify

18 \cdot 2 e^{3 t} e^{3 t} t + 18 \cdot 3 e^{3 t} e^{3 t} tt + 12 \cdot 2 e^{3 t} e^{3 t} + 12 \cdot 3 e^{3 t} e^{3 t} t : 54 e^{6 t} t^{2} + 72 e^{6 t} t + 24 e^{6 t}

= 54 e^{6 t} t^{2} + 72 e^{6 t} t + 24 e^{6 t}

(x + 3) x^{4} + 4 x^{3} - 5 d x

5 p^{6} - p^{6}

\frac{( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )}{( x + 1 ) ( x + 6 )}

π \cdot (7.5 x + 21)^{2}

(p + cos (qt) - e^{- t}) (θ (t - \frac{π}{2}))

What is expand (18e^{3t}t+12e^{3t})*(2e^{3t}+3e^{3t}t) ?
The solution to expand (18e^{3t}t+12e^{3t})*(2e^{3t}+3e^{3t}t) is 54e^{6t}t^2+72e^{6t}t+24e^{6t}