What is factor e^{2x}+3e^x+2 ?

The solution to factor e^{2x}+3e^x+2 is (e^x+1)(e^x+2)

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

factor

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

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

Solution steps

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

Apply exponent rule:

a^{b c} = (a^{b})^{c}

e^{2 x} = (e^{x})^{2}

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

Break the expression into groups

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

Factor out

e^{x}

from

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

Factor out

2

from

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

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

Factor out common term

e^{x} + 1

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

- 9 108 + 63

1 - 3 a^{2} + 3 a^{4} - a^{6}

64 - 8 1^{2}

2 a x - b x + 2 a y - b y

e^{(s i n (x))^{2}}

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