What is expand t^4(e^{11t}+t^3) ?

The solution to expand t^4(e^{11t}+t^3) is e^{11t}t^4+t^7

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expand t^4(e^{11t}+t^3)

expand

t^{4} (e^{11 t} + t^{3})

e^{11 t} t^{4} + t^{7}

Solution steps

t^{4} (e^{11 t} + t^{3})

Apply the distributive law:

a (b + c) = ab + a c

a = t^{4}, b = e^{11 t}, c = t^{3}

= t^{4} e^{11 t} + t^{4} t^{3}

= e^{11 t} t^{4} + t^{4} t^{3}

t^{4} t^{3} = t^{7}

= e^{11 t} t^{4} + t^{7}

x (5 t + 2) d t

12 (- 2)

e^{x + y} (1 + \frac{d y}{d x})

(vx + v x^{3}) (v d x + x d v)

\frac{s}{( s - 2 ) ( s ^{2} + 25 )}

What is expand t^4(e^{11t}+t^3) ?
The solution to expand t^4(e^{11t}+t^3) is e^{11t}t^4+t^7