What is expand-6*(x+y+z)^2 ?

The solution to expand-6*(x+y+z)^2 is -12xy-12xz-6x^2-6y^2-12yz-6z^2

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expand-6*(x+y+z)^2

expand

- 6 \cdot (x + y + z)^{2}

- 12 x y - 12 x z - 6 x^{2} - 6 y^{2} - 12 yz - 6 z^{2}

Solution steps

- 6 (x + y + z)^{2}

(x + y + z)^{2} = 2 x y + 2 x z + x^{2} + y^{2} + 2 yz + z^{2}

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

Distribute parentheses

= (- 6) \cdot 2 x y + (- 6) \cdot 2 x z + (- 6) x^{2} + (- 6) y^{2} + (- 6) \cdot 2 yz + (- 6) z^{2}

Apply minus-plus rules

+ (- a) = - a

= - 6 \cdot 2 x y - 6 \cdot 2 x z - 6 x^{2} - 6 y^{2} - 6 \cdot 2 yz - 6 z^{2}

Multiply the numbers:

6 \cdot 2 = 12

= - 12 x y - 12 x z - 6 x^{2} - 6 y^{2} - 12 yz - 6 z^{2}

4 (4 - π)

(x y + 1) d x + (x y - 1) d y

(e^{2 t} - e^{- 2 t})^{2}

3^{4}

lo g_{10} (x^{5} y^{- 8})

What is expand-6*(x+y+z)^2 ?
The solution to expand-6*(x+y+z)^2 is -12xy-12xz-6x^2-6y^2-12yz-6z^2