What is expand (10e^t)(t^4+1) ?

The solution to expand (10e^t)(t^4+1) is 10e^tt^4+10e^t

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expand (10e^t)(t^4+1)

expand

(10 e^{t}) (t^{4} + 1)

10 e^{t} t^{4} + 10 e^{t}

Solution steps

(10 e^{t}) (t^{4} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = (10 e^{t}), b = t^{4}, c = 1

= (10 e^{t}) t^{4} + (10 e^{t}) \cdot 1

= t^{4} (10 e^{t}) + 1 \cdot (10 e^{t})

Simplify

t^{4} (10 e^{t}) + 1 \cdot (10 e^{t}) : 10 e^{t} t^{4} + 10 e^{t}

= 10 e^{t} t^{4} + 10 e^{t}

x H (x - 1) - H (x - 2) + (2 - x) H (x - 3)

\frac{x ^{2} + 2 x + 10}{2 ( x + 2 )}

(0.3 + 0.7 e^{x})^{5}

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

\frac{( x y - 2 y ) ^{6}}{( x - 2 ) ^{6} + 4 y ^{6}}

What is expand (10e^t)(t^4+1) ?
The solution to expand (10e^t)(t^4+1) is 10e^tt^4+10e^t