simplify |x|e^{-2x}

Solution

simplify

∣ x ∣ e^{- 2 x}

\frac{∣ x ∣}{e ^{2 x}}

Solution steps

∣ x ∣ e^{- 2 x}

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} ∣ x ∣

Multiply fractions:

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

= \frac{1 \cdot ∣ x ∣}{e ^{2 x}}

Multiply:

1 \cdot ∣ x ∣ = ∣ x ∣

= \frac{∣ x ∣}{e ^{2 x}}

\frac{1 + tan ^{2} ( x )}{sec ^{2} ( x ) - 1}

(x - 1)^{2} (x - 2)^{2} x

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot \frac{2}{3}

x^{2} (x - 1)^{2} (x + 1)

x^{2} (x - 1)^{2} (x + 4)