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Popular >

simplify e^{-x}(79-x^2)

Solution

simplify

e^{- x} (79 - x^{2})

Solution

\frac{- x ^{2} + 79}{e ^{x}}

Solution steps

e^{- x} (79 - x^{2})

Apply exponent rule:

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

= \frac{1}{e ^{x}} (- x^{2} + 79)

Multiply fractions:

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

= \frac{1 \cdot ( 79 - x ^{2} )}{e ^{x}}

1 \cdot (79 - x^{2}) = 79 - x^{2}

= \frac{79 - x ^{2}}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is e^{-x}(79-x^2) ?
The solution to e^{-x}(79-x^2) is (-x^2+79)/(e^x)