What is expand e^{y+C}|y|^3(4-4x+y) ?

The solution to expand e^{y+C}|y|^3(4-4x+y) is 4e^{y+C}|y|^3-4e^{y+C}x|y|^3+e^{y+C}y|y|^3

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expand e^{y+C}|y|^3(4-4x+y)

expand

e^{y + C} ∣ y ∣^{3} (4 - 4 x + y)

4 e^{y + C} ∣ y ∣^{3} - 4 e^{y + C} x ∣ y ∣^{3} + e^{y + C} y ∣ y ∣^{3}

Solution steps

e^{y + C} ∣ y ∣^{3} (4 - 4 x + y)

Distribute parentheses

= e^{y + C} ∣ y ∣^{3} \cdot 4 + e^{y + C} ∣ y ∣^{3} (- 4 x) + e^{y + C} ∣ y ∣^{3} y

Apply minus-plus rules

+ (- a) = - a

= 4 e^{y + C} ∣ y ∣^{3} - 4 e^{y + C} x ∣ y ∣^{3} + e^{y + C} y ∣ y ∣^{3}

(x^{2} y + x) \frac{d y}{d x} + (x y^{2} - y)

(x + \frac{5}{3}) (x - \frac{1}{3})

\frac{( x ^{2} + 1 ) cosh ( x )}{x}

\frac{d}{d y} ((x) (y + (x^{2} \cdot y) \cdot h - 2 x \cdot h - n))

\frac{1}{3} (6)^{3} - 5 (6)^{2} + 24 (6)

What is expand e^{y+C}|y|^3(4-4x+y) ?
The solution to expand e^{y+C}|y|^3(4-4x+y) is 4e^{y+C}|y|^3-4e^{y+C}x|y|^3+e^{y+C}y|y|^3