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

The solution to expand y(6-3y-2z)^2 is 36y-36y^2-24yz+9y^3+12y^2z+4yz^2

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

expand

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

36 y - 36 y^{2} - 24 yz + 9 y^{3} + 12 y^{2} z + 4 y z^{2}

Solution steps

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

(6 - 3 y - 2 z)^{2} = 36 - 36 y - 24 z + 9 y^{2} + 12 yz + 4 z^{2}

= y (9 y^{2} + 12 yz - 36 y + 4 z^{2} + 36 - 24 z)

Distribute parentheses

= y \cdot 36 + y (- 36 y) + y (- 24 z) + y \cdot 9 y^{2} + y \cdot 12 yz + y \cdot 4 z^{2}

Apply minus-plus rules

+ (- a) = - a

= 36 y - 36 yy - 24 yz + 9 y^{2} y + 12 yyz + 4 y z^{2}

Simplify

36 y - 36 yy - 24 yz + 9 y^{2} y + 12 yyz + 4 y z^{2} : 36 y - 36 y^{2} - 24 yz + 9 y^{3} + 12 y^{2} z + 4 y z^{2}

= 36 y - 36 y^{2} - 24 yz + 9 y^{3} + 12 y^{2} z + 4 y z^{2}

(1 + (x + i y)^{3})^{2}

2 s^{2} e^{2 t} (1 - 3 s^{3} e^{- 3 t}) + 9 s^{3} e^{t}

(3 - \frac{x}{47829669})^{20}

e^{x t - t} \cdot (U e^{x t} - Ux t - U)

What is expand y(6-3y-2z)^2 ?
The solution to expand y(6-3y-2z)^2 is 36y-36y^2-24yz+9y^3+12y^2z+4yz^2