What is expand 6e^{2t}*(12e^{2t}+12te^{2t}) ?

The solution to expand 6e^{2t}*(12e^{2t}+12te^{2t}) is 72e^{4t}+72e^{4t}t

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expand 6e^{2t}*(12e^{2t}+12te^{2t})

expand

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

72 e^{4 t} + 72 e^{4 t} t

Solution steps

6 e^{2 t} (12 e^{2 t} + 12 t e^{2 t})

= 6 e^{2 t} (12 e^{2 t} + 12 e^{2 t} t)

Apply the distributive law:

a (b + c) = ab + a c

a = 6 e^{2 t}, b = 12 e^{2 t}, c = 12 t e^{2 t}

= 6 e^{2 t} \cdot 12 e^{2 t} + 6 e^{2 t} \cdot 12 t e^{2 t}

= 6 \cdot 12 e^{2 t} e^{2 t} + 6 \cdot 12 e^{2 t} e^{2 t} t

Simplify

6 \cdot 12 e^{2 t} e^{2 t} + 6 \cdot 12 e^{2 t} e^{2 t} t : 72 e^{4 t} + 72 e^{4 t} t

= 72 e^{4 t} + 72 e^{4 t} t

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

\frac{( x ^{2} + 4 ) ^{2}}{4 x}

0.54 + \frac{5.72 \cdot ( z - 1 )}{z - 0.0067}

\frac{1}{( p - x ) ( q - x )}

(2, - 3) y (6, - 1)

What is expand 6e^{2t}*(12e^{2t}+12te^{2t}) ?
The solution to expand 6e^{2t}*(12e^{2t}+12te^{2t}) is 72e^{4t}+72e^{4t}t