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Popular >

expand (x-1)(e^x+3)

Solution

expand

(x - 1) (e^{x} + 3)

Solution

e^{x} x + 3 x - e^{x} - 3

Solution steps

(x - 1) (e^{x} + 3)

Apply FOIL method:

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

a = x, b = - 1, c = e^{x}, d = 3

= x e^{x} + x \cdot 3 + (- 1) e^{x} + (- 1) \cdot 3

Apply minus-plus rules

+ (- a) = - a

= e^{x} x + 3 x - 1 \cdot e^{x} - 1 \cdot 3

Simplify

e^{x} x + 3 x - 1 \cdot e^{x} - 1 \cdot 3 : e^{x} x + 3 x - e^{x} - 3

= e^{x} x + 3 x - e^{x} - 3

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Frequently Asked Questions (FAQ)

What is expand (x-1)(e^x+3) ?
The solution to expand (x-1)(e^x+3) is e^xx+3x-e^x-3