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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

Factor out common term

e^{y} e^{2 x}

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

Refine

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

(2 x^{2} - 3) + 3 \cdot x^{4}

(89462)^{282}

12 - 2 x

(x + 1) 2 - 81

C (7.5)

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