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Popular >

expand (e^x+1)(e^x+2)

Solution

expand

(e^{x} + 1) (e^{x} + 2)

Solution

e^{2 x} + 3 e^{x} + 2

Solution steps

(e^{x} + 1) (e^{x} + 2)

Apply FOIL method:

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

a = e^{x}, b = 1, c = e^{x}, d = 2

= e^{x} e^{x} + e^{x} \cdot 2 + 1 \cdot e^{x} + 1 \cdot 2

= e^{x} e^{x} + 2 e^{x} + 1 \cdot e^{x} + 1 \cdot 2

Simplify

e^{x} e^{x} + 2 e^{x} + 1 \cdot e^{x} + 1 \cdot 2 : e^{2 x} + 3 e^{x} + 2

= e^{2 x} + 3 e^{x} + 2

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Frequently Asked Questions (FAQ)

What is expand (e^x+1)(e^x+2) ?
The solution to expand (e^x+1)(e^x+2) is e^{2x}+3e^x+2