What is factor e^x+e^{x+1}-e^{x+2} ?

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

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factor e^x+e^{x+1}-e^{x+2}

factor

e^{x} + e^{x + 1} - e^{x + 2}

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

Solution steps

e^{x} + e^{x + 1} - e^{x + 2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{x} + e^{1} e^{x} - e^{2} e^{x}

Factor out common term

e^{x}

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

2 a c + 4 b c - a^{2} - 2 ab

(cos (3 θ))^{2}

9 + (2 x^{3})

I n (e^{7 x})

2 x e^{x^{2} - 1} - 3 π sin (π x)

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