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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

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

e^{2 x} = e^{x} e^{x}

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

Factor out common term

e^{x}

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

arctan (9 x^{2} - 1)

\frac{d}{d x} ((3) x^{3}) + 7

rs + r t + 2 t s + 2 t^{2}

e^{s i n (x + x^{7})}

- 4.9 (h)^{2} + 32 (h) + 16

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