What is e^{-x}(e^xx-e^x+2x+c) ?

The solution to e^{-x}(e^xx-e^x+2x+c) is (e^xx+2x-e^x+c)/(e^x)

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simplify e^{-x}(e^xx-e^x+2x+c)

simplify

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

\frac{e ^{x} x + 2 x - e ^{x} + c}{e ^{x}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( e ^{x} x - e ^{x} + 2 x + c )}{e ^{x}}

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

= \frac{e ^{x} x - e ^{x} + 2 x + c}{e ^{x}}

e^{- \frac{3}{5} l n (x)}

30 (22) e^{- \frac{1}{11} (22)}

0.0213 \cdot (0.0821 \cdot 459)^{- 3}

(27) e^{- 0.0866434 (7)}

What is e^{-x}(e^xx-e^x+2x+c) ?
The solution to e^{-x}(e^xx-e^x+2x+c) is (e^xx+2x-e^x+c)/(e^x)