What is expand y(6-3y-x)^2 ?

The solution to expand y(6-3y-x)^2 is 6y^2x-36y^2+9y^3-12yx+yx^2+36y

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expand y(6-3y-x)^2

expand

y (6 - 3 y - x)^{2}

6 y^{2} x - 36 y^{2} + 9 y^{3} - 12 y x + y x^{2} + 36 y

Solution steps

y (6 - 3 y - x)^{2}

(6 - 3 y - x)^{2} = 6 y x - 36 y + 9 y^{2} - 12 x + x^{2} + 36

= y (9 y^{2} + 6 y x - 36 y + x^{2} + 36 - 12 x)

Distribute parentheses

= y \cdot 6 y x + y (- 36 y) + y \cdot 9 y^{2} + y (- 12 x) + y x^{2} + y \cdot 36

Apply minus-plus rules

+ (- a) = - a

= 6 yy x - 36 yy + 9 y^{2} y - 12 y x + y x^{2} + 36 y

Simplify

6 yy x - 36 yy + 9 y^{2} y - 12 y x + y x^{2} + 36 y : 6 y^{2} x - 36 y^{2} + 9 y^{3} - 12 y x + y x^{2} + 36 y

= 6 y^{2} x - 36 y^{2} + 9 y^{3} - 12 y x + y x^{2} + 36 y

(x^{2} - \frac{2 - 3}{6})^{2}

x (x^{5} e^{13 x} + 3)

tan (x) (tan (x) - 1)

(1 - sin (x)) (1 + sin (x))

T (2, 3, - 2)

What is expand y(6-3y-x)^2 ?
The solution to expand y(6-3y-x)^2 is 6y^2x-36y^2+9y^3-12yx+yx^2+36y