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

The solution to expand (-3x+2y-3z)^2 is 9x^2-12xy+18xz+4y^2-12yz+9z^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

9 x^{2} - 12 x y + 18 x z + 4 y^{2} - 12 yz + 9 z^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

- 3 x (- 3 x) - 3 x \cdot 2 y - 3 x (- 3 z) + 2 y (- 3 x) + 2 y \cdot 2 y + 2 y (- 3 z) - 3 z (- 3 x) - 3 z \cdot 2 y - 3 z (- 3 z) : 9 x^{2} - 12 x y + 18 x z + 4 y^{2} - 12 yz + 9 z^{2}

= 9 x^{2} - 12 x y + 18 x z + 4 y^{2} - 12 yz + 9 z^{2}

[(\frac{x}{2}) - (\frac{y}{3})]^{2}

2 x^{0} - 4 y^{0}

(a) 2 x^{3} + 5 x^{2} - 7

x^{8} + x^{9}

(\frac{1}{3} x - \frac{2}{5} y)^{3}

What is expand (-3x+2y-3z)^2 ?
The solution to expand (-3x+2y-3z)^2 is 9x^2-12xy+18xz+4y^2-12yz+9z^2