What is expand 25t(1+e^{2t}) ?

The solution to expand 25t(1+e^{2t}) is 25t+25e^{2t}t

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expand 25t(1+e^{2t})

expand

25 t (1 + e^{2 t})

25 t + 25 e^{2 t} t

Solution steps

25 t (1 + e^{2 t})

Apply the distributive law:

a (b + c) = ab + a c

a = 25 t, b = 1, c = e^{2 t}

= 25 t \cdot 1 + 25 t e^{2 t}

= 25 \cdot 1 \cdot t + 25 e^{2 t} t

Multiply the numbers:

25 \cdot 1 = 25

= 25 t + 25 e^{2 t} t

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What is expand 25t(1+e^{2t}) ?
The solution to expand 25t(1+e^{2t}) is 25t+25e^{2t}t