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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

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

d (62 \cdot 12.45)

(u + 4) (2 u + 1) d u

(- 2 + 4 t) d x

(e^{i θ} - 1)^{2}

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