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Popular >

simplify e^{-2x}(x^2+5)

Solution

simplify

e^{- 2 x} (x^{2} + 5)

Solution

\frac{x ^{2} + 5}{e ^{2 x}}

Solution steps

e^{- 2 x} (x^{2} + 5)

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} (x^{2} + 5)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} + 5 )}{e ^{2 x}}

1 \cdot (x^{2} + 5) = x^{2} + 5

= \frac{x ^{2} + 5}{e ^{2 x}}

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Frequently Asked Questions (FAQ)

What is e^{-2x}(x^2+5) ?
The solution to e^{-2x}(x^2+5) is (x^2+5)/(e^{2x)}