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Popular >

simplify ae^{-t}(1-t^2)

Solution

simplify

a e^{- t} (1 - t^{2})

Solution

\frac{a ( - t ^{2} + 1 )}{e ^{t}}

Solution steps

a e^{- t} (1 - t^{2})

Apply exponent rule:

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

= \frac{1}{e ^{t}} a (- t^{2} + 1)

Multiply fractions:

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

= \frac{1 \cdot a ( 1 - t ^{2} )}{e ^{t}}

Multiply:

1 \cdot a = a

= \frac{a ( - t ^{2} + 1 )}{e ^{t}}

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Frequently Asked Questions (FAQ)

What is ae^{-t}(1-t^2) ?
The solution to ae^{-t}(1-t^2) is (a(-t^2+1))/(e^t)