What is factor e^{2x}-xe^{6x} ?

The solution to factor e^{2x}-xe^{6x} is e^{2x}(1-e^{4x}x)

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factor e^{2x}-xe^{6x}

factor

e^{2 x} - x e^{6 x}

e^{2 x} (1 - e^{4 x} x)

Solution steps

e^{2 x} - x e^{6 x}

Apply exponent rule:

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

e^{6 x} = e^{2 x} e^{4 x}

= e^{2 x} - x e^{2 x} e^{4 x}

Factor out common term

e^{2 x}

= e^{2 x} (1 - x e^{4 x})

ln (1 - e^{(- a t)})

3 x - P y - 3 y + P x

2 a + 3 ab - 2 c - 3 b c

(x + 1)^{2} + 1

8 c g (2 k + u) - (2 r + u)

What is factor e^{2x}-xe^{6x} ?
The solution to factor e^{2x}-xe^{6x} is e^{2x}(1-e^{4x}x)