What is (x^2+8x-84)e^{-3.25x} ?

The solution to (x^2+8x-84)e^{-3.25x} is (x^2+8x-84)/(e^{3.25x)}

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simplify (x^2+8x-84)e^{-3.25x}

simplify

(x^{2} + 8 x - 84) e^{- 3.25 x}

\frac{x ^{2} + 8 x - 84}{e ^{3.25 x}}

Solution steps

(x^{2} + 8 x - 84) e^{- 3.25 x}

Apply exponent rule:

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

= \frac{1}{e ^{3.25 x}} (x^{2} + 8 x - 84)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} + 8 x - 84 )}{e ^{3.25 x}}

1 \cdot (x^{2} + 8 x - 84) = x^{2} + 8 x - 84

= \frac{x ^{2} + 8 x - 84}{e ^{3.25 x}}

(6 + 5) (6 + 5)

2^{- 1}

- 2 4 - (- 2)^{2}

\frac{5 + 5}{2}

What is (x^2+8x-84)e^{-3.25x} ?
The solution to (x^2+8x-84)e^{-3.25x} is (x^2+8x-84)/(e^{3.25x)}