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

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

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

expand

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

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

Solution steps

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

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

\frac{1}{( 1 + x ^{2} ) ( x ^{2} + 4 )}

- \frac{3 ( 6 x + 5 )}{( 3 x ^{2} + 5 x ) ^{4}}

((n + 1)!)^{2}

(x - 2 y) d x + x d y

\frac{( a - b ) ^{2} x ^{3}}{102}

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