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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