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Popular >

simplify (A+Bx)e^{-3x}

Solution

simplify

(A + B x) e^{- 3 x}

Solution

\frac{B x + A}{e ^{3 x}}

Solution steps

(A + B x) e^{- 3 x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (A + B x) = A + B x

= \frac{A + B x}{e ^{3 x}}

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Frequently Asked Questions (FAQ)

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