What is expand (3x+2y-4z)^2 ?

The solution to expand (3x+2y-4z)^2 is 9x^2+12xy-24xz+4y^2-16yz+16z^2

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expand (3x+2y-4z)^2

expand

(3 x + 2 y - 4 z)^{2}

9 x^{2} + 12 x y - 24 x z + 4 y^{2} - 16 yz + 16 z^{2}

Solution steps

(3 x + 2 y - 4 z)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(3 x + 2 y - 4 z)^{2} = (3 x + 2 y - 4 z) (3 x + 2 y - 4 z)

= (3 x + 2 y - 4 z) (3 x + 2 y - 4 z)

Distribute parentheses

= 3 x \cdot 3 x + 3 x \cdot 2 y + 3 x (- 4 z) + 2 y \cdot 3 x + 2 y \cdot 2 y + 2 y (- 4 z) - 4 z \cdot 3 x - 4 z \cdot 2 y - 4 z (- 4 z)

Simplify

3 x \cdot 3 x + 3 x \cdot 2 y + 3 x (- 4 z) + 2 y \cdot 3 x + 2 y \cdot 2 y + 2 y (- 4 z) - 4 z \cdot 3 x - 4 z \cdot 2 y - 4 z (- 4 z) : 9 x^{2} + 12 x y - 24 x z + 4 y^{2} - 16 yz + 16 z^{2}

= 9 x^{2} + 12 x y - 24 x z + 4 y^{2} - 16 yz + 16 z^{2}

\frac{( 18 a - 10 b + 6 c )}{2}

- 5 x + 5 y

18 x - 42 y + 30 z

x^{3} \cdot y + x \cdot y^{3}

x^{3} - k^{3}

What is expand (3x+2y-4z)^2 ?
The solution to expand (3x+2y-4z)^2 is 9x^2+12xy-24xz+4y^2-16yz+16z^2