What is expand e^{-x}(cxe^{2x}+2ce^{2x}+d) ?

The solution to expand e^{-x}(cxe^{2x}+2ce^{2x}+d) is (ce^{2x}x+2ce^{2x}+d)/(e^x)

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expand e^{-x}(cxe^{2x}+2ce^{2x}+d)

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

0.9 3^{- 2}

4 \cdot 3.14 \cdot 10 \cdot 1 0^{- 7} \cdot 3500 \cdot 0.75

(1.26 \cdot 1 0^{- 4}) \cdot (60.052)

e^{- 7} \cdot 5

What is expand e^{-x}(cxe^{2x}+2ce^{2x}+d) ?
The solution to expand e^{-x}(cxe^{2x}+2ce^{2x}+d) is (ce^{2x}x+2ce^{2x}+d)/(e^x)