What is factor-27Ae^{-3x}+8Be^{2x}+64Ce^{4x} ?

The solution to factor-27Ae^{-3x}+8Be^{2x}+64Ce^{4x} is e^{-3x}(-27A+8Be^{5x}+64Ce^{7x})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor-27Ae^{-3x}+8Be^{2x}+64Ce^{4x}

factor

- 27 A e^{- 3 x} + 8 B e^{2 x} + 64 C e^{4 x}

e^{- 3 x} (- 27 A + 8 B e^{5 x} + 64 C e^{7 x})

Solution steps

- 27 A e^{- 3 x} + 8 B e^{2 x} + 64 C e^{4 x}

Apply exponent rule:

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

e^{2 x} = e^{- 3 x} e^{5 x}, e^{4 x} = e^{- 3 x} e^{7 x}

= - 27 A e^{- 3 x} + 8 B e^{- 3 x} e^{5 x} + 64 C e^{- 3 x} e^{7 x}

Factor out common term

e^{- 3 x}

= e^{- 3 x} (- 27 A + 8 B e^{5 x} + 64 C e^{7 x})

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

(- 5) e

a c - a d + b d - b c

(X \in / A) + (X \in / B)

e^{- 2 t} cos (t) + e^{2 t} cos (t)

What is factor-27Ae^{-3x}+8Be^{2x}+64Ce^{4x} ?
The solution to factor-27Ae^{-3x}+8Be^{2x}+64Ce^{4x} is e^{-3x}(-27A+8Be^{5x}+64Ce^{7x})