What is expand e|x|(x^2+4xy-2x) ?

The solution to expand e|x|(x^2+4xy-2x) is ex^2|x|+4exy|x|-2ex|x|

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expand e|x|(x^2+4xy-2x)

expand

e ∣ x ∣ (x^{2} + 4 x y - 2 x)

e x^{2} ∣ x ∣ + 4 e x y ∣ x ∣ - 2 e x ∣ x ∣

Solution steps

e ∣ x ∣ (x^{2} + 4 x y - 2 x)

Distribute parentheses

= e ∣ x ∣ x^{2} + e ∣ x ∣ \cdot 4 x y + e ∣ x ∣ (- 2 x)

Apply minus-plus rules

+ (- a) = - a

= e x^{2} ∣ x ∣ + 4 e x y ∣ x ∣ - 2 e x ∣ x ∣

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

3 ((x + 4) (x + 2) (x + 1) (x - 4))

\frac{( x - 1 ) ( x + 5 )}{x - 4}

(m - 7 + 7) (m - 7 - 7)

- 2 sin (t) (16 - 2 sin (t))

What is expand e|x|(x^2+4xy-2x) ?
The solution to expand e|x|(x^2+4xy-2x) is ex^2|x|+4exy|x|-2ex|x|