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Popular >

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

Solution

simplify

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

Solution

\frac{x ^{2} + 3 x + 1}{e ^{x}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{x}} (x^{2} + 3 x + 1)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} + 3 x + 1 )}{e ^{x}}

1 \cdot (x^{2} + 3 x + 1) = x^{2} + 3 x + 1

= \frac{x ^{2} + 3 x + 1}{e ^{x}}

Popular Examples

simplify 0.2e^{-200*0.006}simplify

0.2 e^{- 200 \cdot 0.006}

simplify e^y(e^{y-1})simplify

e^{y} (e^{y - 1})

simplify 5.56*10^{-6}*3600 simplify

5.56 \cdot 1 0^{- 6} \cdot 3600

expand-x^{1/2}*x^{-1/2}expand

- x^{\frac{1}{2}} \cdot x^{- \frac{1}{2}}

simplify e^{-t}3(tan(1/s))/s simplify

e^{- t} 3 \frac{tan ( \frac{1}{s} )}{s}

Frequently Asked Questions (FAQ)

What is e^{-x}(x^2+3x+1) ?
The solution to e^{-x}(x^2+3x+1) is (x^2+3x+1)/(e^x)