What is factor e^{x+c}x+e^{x+c} ?

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

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factor e^{x+c}x+e^{x+c}

factor

e^{x + c} x + e^{x + c}

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

Solution steps

e^{x + c} x + e^{x + c}

Apply exponent rule:

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

= e^{c} e^{x} x + e^{c} e^{x}

Factor out common term

e^{c} e^{x}

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

Refine

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

g (2 a)

a + b + c

2 w x - 3 x y - 10 w z + 15 yz

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

(2^{2 x})^{2} + 2^{2 x + 1} - 3

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