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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply FOIL method:

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

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

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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