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Popular >

factor c+c^2*e^{-2t}

Solution

factor

c + c^{2} \cdot e^{- 2 t}

Solution

c (1 + c e^{- 2 t})

Solution steps

c + c^{2} e^{- 2 t}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

e^{- 2 t} = (e^{- t})^{2}

= c + c^{2} (e^{- t})^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

(e^{- t})^{2} c^{2} = cc

= c + cc

Factor out common term

c

= c (1 + (e^{- t})^{2} c)

Simplify

c (1 + (e^{- t})^{2} c) : c (1 + c e^{- 2 t})

= c (1 + c e^{- 2 t})

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Frequently Asked Questions (FAQ)

What is factor c+c^2*e^{-2t} ?
The solution to factor c+c^2*e^{-2t} is c(1+ce^{-2t})