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Popular >

expand (x-1)(e^x-e)

Solution

expand

(x - 1) (e^{x} - e)

Solution

e^{x} x - e x - e^{x} + e

Solution steps

(x - 1) (e^{x} - e)

Apply FOIL method:

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

a = x, b = - 1, c = e^{x}, d = - e

= x e^{x} + x (- e) + (- 1) e^{x} + (- 1) (- e)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= e^{x} x - e x - 1 \cdot e^{x} + 1 e

Simplify

e^{x} x - e x - 1 \cdot e^{x} + 1 e : e^{x} x - e x - e^{x} + e

= e^{x} x - e x - e^{x} + e

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Frequently Asked Questions (FAQ)

What is expand (x-1)(e^x-e) ?
The solution to expand (x-1)(e^x-e) is e^xx-ex-e^x+e