What is expand (e^{-7x}+9)(e^{-3x}+14) ?

The solution to expand (e^{-7x}+9)(e^{-3x}+14) is e^{-10x}+14e^{-7x}+9e^{-3x}+126

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expand (e^{-7x}+9)(e^{-3x}+14)

expand

(e^{- 7 x} + 9) (e^{- 3 x} + 14)

e^{- 10 x} + 14 e^{- 7 x} + 9 e^{- 3 x} + 126

Solution steps

(e^{- 7 x} + 9) (e^{- 3 x} + 14)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = e^{- 7 x}, b = 9, c = e^{- 3 x}, d = 14

= e^{- 7 x} e^{- 3 x} + e^{- 7 x} \cdot 14 + 9 e^{- 3 x} + 9 \cdot 14

= e^{- 7 x} e^{- 3 x} + 14 e^{- 7 x} + 9 e^{- 3 x} + 9 \cdot 14

Simplify

e^{- 7 x} e^{- 3 x} + 14 e^{- 7 x} + 9 e^{- 3 x} + 9 \cdot 14 : e^{- 10 x} + 14 e^{- 7 x} + 9 e^{- 3 x} + 126

= e^{- 10 x} + 14 e^{- 7 x} + 9 e^{- 3 x} + 126

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What is expand (e^{-7x}+9)(e^{-3x}+14) ?
The solution to expand (e^{-7x}+9)(e^{-3x}+14) is e^{-10x}+14e^{-7x}+9e^{-3x}+126